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The Geometry
Seminar at IME-USP during the years of 2013-2018 were organized by Prof. Marcos Alexandrino and Prof. Paolo Piccione and supported by Projeto
Temático-Fapesp of Prof. Paolo Piccione ( Fapesp 2016/23746-6/Fapesp: 2011/21362-2)
- march 5, 2020 at 16h
- Title: Geometria trasversa de folheações Riemannianas via deformações
- Speaker: Prof. Francisco Caramello
- Abstract: Veremos generalizações de alguns resultados da geometria Riemanniana clássica para a
geometria transversa de folheações de Killing, obtidos
por uma técnica de deformação que permite
a redução desse tipo de resultado para o caso de orbifolds Riemannianos. Estes resultados são
parte de um trabalho desenvolvido em parceria com Prof. Dr. Dirk Töben (DM-UFSCar).
- venue: A268 (IME-USP)
- march 12, 2020 at 11h
- Title: Nijenhuis Geometry: singularities and global issues.
- Speaker: Prof. Vladimir Matveev
- Abstract: The talk is devoted to Nijenhuis operators, i.e., fields of
endomorphisms with vanishing Nijenhuis torsion. This is possibly the simplest geometric
condition; for this reason it appears independently and many times in
geometry, analysis and mathematical physics, in particular in the theory of
projectively equivalent metrics and in the theory of integrable systems.
The talk is based on a series of papers in progress aiming at re-directing
the research agenda in this area to “next level topics":
• Singular points: what does it mean for a point to be generic or singular
in the context of Nijenhuis geometry? What singularities are
non-degenerate? What singularities are stable? How do Nijenhuis operators
behave near non-degenerate and stable singular points?
• Global properties: what restrictions on a Nijenhuis operator are imposed
by compactness of the manifold? And conversely, what are topological
obstructions on a manifold carrying a Nijenhuis operator with specific
properties (e.g.with no singular points) ?
We demonstrate that this research program is realistic by proving a series
open problems some of which are easy to formulate.
- venue: 249-A (IME-USP)
- march 13, 2020 at 14h
- Title:
- Speaker: Prof Andrea Loi ( Universidade de Cagliari-Italia )
- Abstract:
- venue: (IME-USP)
- December, 20 2019 at 16h
- Title: Convex Algebraic Geometry of Curvature Operators
- Speaker: Prof. Renato Bettiol ( Cuny EUA)
- Abstract: I
will discuss the structure of the set of algebraic curvature operators
of n-dimensional Riemannian manifolds satisfying a sectional curvature
bound (e.g., nonnegative or nonpositive sectional curvature), under the
light of the emerging field of Convex Algebraic Geometry. More
precisely, we completely determine in what dimensions n this convex
semi-algebraic set is a spectrahedron or a spectrahedral shadow (these
are generalizations of polyhedra where linear programing extends to as
semidefinite programming, and are of great interest in applied
mathematics and optimization). Furthermore, if n=4, we describe this
set as an algebraic interior with respect to an explicit irreducible
polynomial.
This is based on joint work with M. Kummer (TU Berlin) and R. Mendes (Univ of Oklahoma).
- venue: 266-A (IME-USP)
- Dezember 05, 2019 (SP Geometry Seminar at Unicamp): Prof. Llohann Dallagnol Sperança (Unifesp)
- Dezember 05, 2019 (SP Geometry Seminar at Unicamp): Prof. Alexandre Paiva(UFScar)
- Dezember 05, 2019 (SP Geometry Seminar at Unicamp): Hugo Cattarucci Botós (ICMC) -short presentation
- Dezember 05, 2019 (SP Geometry Seminar at Unicamp): Jackeline Conrado (USP)-short presentation
- November 29, 2019 at 14h
- Title: Produtos
torcidos com curvatura harmônica sobre superfícies"
(trabalho em colaboração com Paolo Piccione)
- Speaker: Prof. Andrzej Derdzinski (Ohio-state)
- Abstract:Uma
variedade riemanniana é dita ter curvatura harmônica
se a divergência do seu tensor de curvatura é nula
(ou,equivalentemente, o seu tensor de Ricci satisfaz à
equação de Codazzi). Nós descrevemos a estrutura
local das variedades riemannianas de dimensões $n>3\,$ que,
além de possuir curvatura harmônica, admitem
decomposições não triviais como produto
torcido com bases bidimensionais. A descrição, expressa
em termos da função torção $\phi$ e
da métrica $\,g=\phi^{-\nh2}\nh h\,$ conforme á
métrica da base $h$, envolve uma dicotomia natural: ou $g$ tem
curvatura Gaussiana $K$ constante, ou $K$ é não
constante e igual a uma função específica da
função torção $\phi$. Em ambos os casos
$\phi$ satisfaz a uma equação diferencial quase-linear
elíptica da segunda ordem. Construímos também
exemplos ilustrando que ambos os casos acima são realizados por
variedades compactas.
- November 29, 2019 at 15h
- Title: Formal integrability of geometric structures
- Speaker: Francesco Cattafi (Utrecht University)
- Abstract: A Lie pseudogroup $\Gamma$ is a collection of locally defined diffeomorphisms arising as solutions of a PDE.
This object gives rise to the notion of $\Gamma$-structure on a manifold $M$:
it is a maximal atlas whose changes of coordinates take values in $\Gamma$.
For instance, the set of local symplectomorphisms of the canonical symplectic structure of
$\mathbb{R}^{2n}$ forms a Lie pseudogroup, and the associated $\Gamma$-structure
is a symplectic structure on $M$. More generally, any integrable $G$-structure is a special kind of $\Gamma$-structure.
This leads us to a natural question: what is the counterpart of a non-integrable $G$-structure in the Lie pseudogroup world
(which we call "almost $\Gamma$-structure")? And when does an almost
$\Gamma$-structure come from a $\Gamma$-structure? In this talk we are
going to review these notions and provide an answer to the questions
sketched above. In particular, we present a new characterisation of
formal integrability in the setting of $\Gamma$-structures; this
will be obtained by introducing the concept of principal Pfaffian
bundle and studying its prolongations to higher orders; we draw
inspiration from similar results for PDEs on jet bundles and for
$G$-structures, which we are going to recover. This is joint work with
Marius Crainic.
- Short Lectures:
- November 26,27,28, 2019 at 14h
- Title: An introduction to Lie pseudgroups and Geometric Structures
- Speaker: Francesco Cattafi (Utrecht University)
- venue:165B (IME-USP)
- Abstract: In this minicourse I aim to present
a general theory of geometric structures described by a Lie pseudogroup
and to study the related integrability problem.
- Lecture 1 - The problem: integrability of almost structures
- Lecture 2 - The tools: principal Pfaffian bundles
- Lecture 3 - The solution: prolongations and intrinsic torsions
- November 22, 2019 at 15:15h
- Title: The behavior of basic equivariant cohomology of Killing foliations under deformations.
- Speaker: Dr. Francisco Caramello (IME-USP)
- Abstract: Killing
foliations form an important class of Riemannian foliations which
includes foliations given by orbits of isometric actions and Riemannian
foliations on simply connected manifolds. Such foliations have a
built-in action of a Lie algebra of Killing vector fields whose orbits
are the closures of the leaves. It is then natural and relevant to
study the basic equivariant cohomology (with respect to this action) of
those foliations. On the other hand, we’ve obtained recently a
deformation technique for Killing foliations which allows one to reduce
many aspects of their study to the geometry and topology of orbifolds.
In this talk we will see that the ring structure of basic equivariant
cohomology is preserved throughout those deformations and, as a
consequence, coincides with equivariant cohomology of an orbifold ,
with respect to a torus action. As an application, we’ll give an
algebraic condition for the basic Betti numbers to remain constant
thoughout deformations.
- Preliminary talk of 2nd Workwhop of
the São Paulo Journal of Mathematical Science
- November 11, 2019 at 14:00h
- Title: A "promenade" towards energy an volume of unit vector fields.
- Speaker: Prof. Fabiano Brito
- Abstract:
We present results on the subject in the title. The general goal is to
tell about "interesting " minimizations of the volume and energy
functional for unit flows . Most of the subject is in relation to
previous or future papers written or to be written in collaboration
with the following co authors:P. Walczak,A. Naveira,P. Chacon,O. Gil
Medrano,V. Borrelli R. Mesquita, A. Gomes,G. Nunes , I. Gonçalves. A.
Nicoli,J. Conrado .This order is intended to be chronological
according to date of publications( or expected future ones)
- venue: 243-A (IME-USP)
- Event: 2nd Workwhop of
the São Paulo Journal of Mathematical Science: Jean-Louis
Koszul in São Paulo, His Work and Legacy
- November 13-14, 2019
- https://www.ime.usp.br/~2wspjm/
- SP Geometry Seminar
- November 8, 2019 at 14.00h
- Title: Existence Defects of Geometric Structures
- Speaker: Prof. Michel Nguiffo Boyom (Alexander Grothendieck Research Institute, University of Montpellier, France.)
- Abstract:
Let $S) be a type of Geometric structure. A smooth manifold $M$
is called a $S$-manifold when it is equipped with a structure of type
$S$. A foliation the leaves of which are smoothly $S$-manifolds is
called a foliation of type $S$, ( the notion of $S$-foliation might
carry another meaning.) Given a smooth manifold $M$, let $S$ be a type
of Geometric structure. Arises the question whether $M$ can support a
foliation of type $S$. That is a rather hard problem in the
differential topology. The aim is to point out that for many important
types of Geometry structures this existence problem is linked with
sheaves of associative algebras of solutions of Hessian equations
defined by Koszul connections in the tangent bundle $TM$. The talk is
devoted to overview a few cases of geometric structures which have
significant impacts on other research domains. Instances are Hessian
structures in Riemannian manifolds; Hessian structures in locally flat
manifolds; symplectic structure in manifolds; left invariant symplectic
structure in Lie groups.
- venue: Auditório Jacy Monteiro (IME-USP)
- SP Geometry Seminar
- November 8, 2019 at 15.00h
- Title: On the spectrum of warped products and $G$-manifolds
- Speaker: Prof. Marcus Marrocos (UFABC)
- Abstract: see links
- venue: Auditório Jacy Monteiro (IME-USP)
- SP Geometry Seminar- short presentation
- November 8, 2019 at 16.30h
- Title: A semi-local model for singular Riemannian foliations.
- Speaker: Marcelo Inagaki (USP)
- Abstract: In this talk
we present a semi-local model for a singular Riemannian foliation
$\mathcal{F}$. More precisely, in a distinguish tubular neighbourhood,
the first order approximation of $F$ (linearized foliation
$\mathcal{F}^\ell$) wich partially describes the dynamic of
$\mathcal{F}$ will be given by the action of a Lie groupoid. Moreover
$\mathcal{F}$ and $\mathcal{F}^\ell$ will be foliated diffeomorphic to
a generalization of the holonomy foliation and his linearization,
respectivelly. This talk is based on joint work with prof. Marcos
Alexandrino (IME-USP) and prof. Ivan Struchiner (IME-USP).
- venue: Auditório Jacy Monteiro (IME-USP)
- SP Geometry Seminar- short presentation
- November 8, 2019 at 17:00h
- Title: Moduli space of contact Instantons in $7$-dimensions
- Speaker: Luiz Portilla (IMECC)-
- Abstract: see link
- venue: Auditório Jacy Monteiro (IME-USP)
- October 18, 2019 at 15.15h
- Title: Cheeger deformations and Positive Ricci and Scalar curvatures
- Speaker: Leonardo F. Cavenaghi (IME-USP)
- Abstract:
Let $(M,g)$ be a compact Riemannian manifold with an isometric
$G$-action. If a principal orbit has finite fundamental group and the
quotient space has a metric with positive Ricci curvature, then Searle
and Wilhelm showed that $M$ carries a $G$-invariant metric of positive
Ricci curvature. To do so, they make use of a conformal change on the
original metric and Cheeger deformations. The question remained whether
Cheeger deformations are sufficient to prove the Theorem. In this short
talk we discuss how to approach this question studying the tensors
associated to Cheeger deformations on singular points of the action. We
both construct examples where the Cheeger deformation is not enough and
give sufficient (algebraic) conditions where the deformation is enough.
Once understood the geometry near singular points, we show that
provided $G$ is non-abelian, any $G$--invariant metric develops
positive scalar curvature after a finite Cheeger deformation. This is a
joint work with Renato J.M. e Silva and Llohann D. Sperança.
- October 18, 2019 at 15.40h
- Title: A topological lower bound for the energy of a unit vector field on a closed euclidean hypersurface
- Speaker: Adriana Vietmeier Nicoli (IME-USP)
- Abstract: For a unit
vector field on a closed immersed Euclidean hypersurface $M^{2n+1}$ ,
$n ≥ 1$, we exhibit a nontrivial lower bound for its energy which
depends on the degree of the Gauss map of the immersion. When the
hypersurface is the unit sphere $S^{2n+1}$, immersed with degree
one, this lower bound corresponds to a well established value from the
literature. We introduce a list of functionals $B_k$ on a compact
Riemannian manifold $M^m$, $1 ≤ k ≤ m$, and show that, when the
underlying manifold is a closed hypersurface, these functionals possess
similar properties regarding the degree of the immersion. In addition,
we prove that Hopf flows minimize $B_n$ on $S^{2n+1} .
This is a joint work with Fabiano G. B. Brito and Ícaro Gonçalves.
- October 4, 2019 at 14h
- Title: On Mean curvature flow of Singular Riemannian foliations: Non compact cases..
- Speaker: Prof. Marcos Alexandrino (IME-USP)
- Abstract:In this
talk we discuss the mean curvature flow (MCF) of a regular
leaf of a closed generalized isoparametric foliation as initial datum,
generalizing previous results of Radeschi and first author. We show
that, under bounded curvature conditions, any finite time
singularity is a singular leaf, and the singularity is of type I. We
also discuss the existence of basins of attraction, how cylinder
structures can affect convergence of basic MCF of immersed submanifolds
and make a few remarks on MCF of non closed leaves of
generalized isoparametric foliation.
This talk is based on a joint work with Leonardo F. Cavenaghi, Icaro Gonçalves
- September 20, 2019 at 14h
- Title: Projectively induced Ricci-flat Kaehler metrics.
- Speaker: Prof. Michela Zedda
- Abstract:The first
part of this talk gives an overview of the problem of classifying
Kaehler-Einstein manifolds which admit a Kaehler immersion into the
complex projective space, which leads to the conjecture that the only
Ricci-flat projectively induced Kaehler metric is the flat one. In the
second part, we give evidence to this conjecture for the Calabi's
Ricci-flat metrics on holomorphic line bundles over compact
Kaehler-Einstein manifolds.
- venue: 259-A (IME)
- August 23, 2019 at 16h
- Title: The analysis of the Ricci flow on compact manifolds
- Speaker: Adam Rudnik
- Abstract:In this talk I
will present DeTurck’s proof of the existence and uniqueness of
the Ricci flow on compact manifolds.
I will then briefly talk about a condition to the long time existence of the Ricci flow. In the last part
I will present what is known in the case of compact, orientable 2-dimensional manifolds.
- venue: 268-A (IME)
- August 30, 2019 at 14h
- Title: Widths and volumes of three-spheres
- Speaker: Prof. Lucas Ambrozio
- Abstract:
Simon and Smith have shown that every Riemannian
three-dimensional sphere contains an embedded minimal two-sphere
by implementing a min-max procedure for the area functional in
the space of embedded two-spheres. Such procedure actually
defines a geometric invariant as well, which we call 'width'. In
this talk, we will discuss results that compare the width to
other geometric invariants of Riemannian thee-spheres, e.g. the
total volume. In particular, we
prove a sharp inequality between widths and volumes that characterise
the canonical metric, and show that equidistribution of minimal
two-spheres of bounded index and area is a phenomenon associated
to local maxima of the width among unit volume metrics in a given
conformal class. This is joint work with Rafael Montezuma.
- venue: 268-A (IME)
- August 15, 2019 at 14h
- Title: Função Transnormal Finsleriana
- Speaker: Prof. Benigno Alves (UFBA)
- Abstract:
Nesta palestra apresentaremos o conceito e algumas propriedades de
função Transnormal Finsleriana que é uma
generalização da função distância.
Quando tal função é analítica com fibras
conexas definida em uma variedade Finsler compacta, seus níveis
são subvariedades equidistantes, em particular, constituem uma
folheação Finsleriana singular.
Por fim apresentaremos condições que garantem a
existência de uma métrica Riemanniana tal que a
função em questão é transnormal
Riemanniana. Tal apresentação é baseada em
trabalho conjunto com Prof. M. Alexandrino e Profa H. R. Dehkordi,
- venue: 101B (IME)
- August 15, 2019 at 15h
- Title: Submanifold Theory of Finsler manifolds
- Speaker: Prof. Miguel Angel Javaloyes (Murcia-Spain)
- Abstract: In this talk,
we will describe basic results in the theory of submanifolds of Finsler
manifolds. First, we will give some tools needed for this study. In
particular, we will show that it is possible to define a Levi-Civita
anisotropic connection associated with a Finsler metric. We will also
show how to define the derivative of an anisotropic tensor (a tensor
which depends on the direction rather than on the points of the
manifold) and how to define the curvature tensor of an anisotropic
connection, giving some results as Bianchi Identities and formulas
relating the curvature of two different anisotropic connections. Next,
we will study the curves that minimize the distance to a submanifold,
showing that locally orthogonal geodesics are minimizers and that in
fact, there exist tubular neighbourhoods of precompact submanifolds.
This result is crucial for the study of singular Finsler foliations.
Afterwards, we will study the Gauss equation of a submanifold and we
will finish the talk speaking briefly about minimal submanifolds and
the embedding problem.
- venue: 101B (IME)
- August 16, 2019 at 14h
- Title: Estimativas para o primeiro autovalor do operador Laplaciano Aproximado
- Speaker: Prof Giovanni Nunes
- Abstract: see link
- venue: 101B (IME)
- August 16, 2019 at 15h
- Title: Invariant theory for real reductive representations
- Speaker: Prof. Leonardo Biliotti (Parma-Italy)
- Abstract: Let G be
a connected real reductive Lie group acting linearly on a finite
dimensional vector space V over R. This action admits a Kempf-Ness
function and so we have an associated gradient map. If G is Abelian we
explicitly compute the image of G orbits under the gradient map,
generalizing a result proved by Kac and Peterson in the complex
setting. We also give a new proof of the Hilbert-Mumford
criterion and the Kempf-Ness Theorem for real reductive Lie
groups avoiding any algebraic result. Finally we investigate the
natural G action on the projective space P(V) and we discuss some new
results wich are still in working in progress.
- venue: 101B (IME)
- USP-UNICAMP Geometry Seminar 321 (IMECC).
- June 27, 2019 : 14:00 - 15:00
- Title: Anosov actions which are affine
- Speaker: Dr. Uirá Norberto Matos de Almeida (pos-doc IME-USP)
- Abstract: http://www.ime.unicamp.br/~geodif/index.html
- USP-UNICAMP Geometry Seminar 321 (IMECC).
- June 27, 2019 : 15h-15:30h
- Title: Bifurcation and Local Rigidity of Homogeneous Solutions to the Yamabe Problem on Maximal Flag Manifolds
- Speaker: Kennerson Nascimento de Sousa Lima -UNICAMP
- Abstract: http://www.ime.unicamp.br/~geodif/index.html
- USP-UNICAMP Geometry Seminar 321 (IMECC).
- June 27, 2019 : 15:45h-16:45h,
- Title: Gap de energia em teoria de Yang-Mills para variedades completas com invariante de Yamabe positivo
- Speaker: Prof Matheus Vieira (UFES)
- Abstract: http://www.ime.unicamp.br/~geodif/index.html
- June 28, 2019 at 14h
- Title: Lie groupoids and semi-local models of Singular Riemannian foliations
- Speaker: Marcos Alexandrino (IME-USP)
- Abstract:
In a previous paper, Radeschi and Alexandrino, proved the
conjecture of Molino that for every singular Riemannian foliation
(M,F), the partition given by the closures of the leaves of F is again
a singular Riemannian foliation. For that they studied the linearized
subfoliation of F that roughly speaking describe the semi-local
dynamical behavior of F.
In this talk we define a Lie groupoid whose orbits are the leaves of
the linearized subfoliation and review the semi-local models of
Singular Riemannian foliations. This talk is based on a joint work
with Marcelo K. Inagaki (IME-USP) and prof. Ivan Struchiner
(IME-USP).
- venue: B-138 (IME)
- June 19, 2019 at 14h
- Title: Ações aleatórias na Esfera de Riemann
- Speaker: Lucas Kaufmann Sacchetto (Paris 6)
- Abstract:
Os automorfismos da Esfera de Riemann são representados
por matrizes em SL_2(C), que agem por meio de
transformações de Möbius. Considere o seguinte
problema: dadas duas matrizes A e B em SL_2(C), o que podemos dizer
sobre a ação de produtos da forma …AABABBBABA onde
A e B são escolhidos aleatoriamente e o número de
matrizes tende ao infinito? Esse problema e seus variantes remontam aos
anos 60 com o trabalho pioneiro de Furstenberg. Mesmo depois de muitos
avanços realizados nos anos 70 e 80, o assunto continua a
despertar interesse até os dias de hoje e respostas definitivas
a algumas questões foram dadas apenas recentemente. O plano
dessa palestra será apresentar alguns resultados básicos
dessa teoria e mostrar como podemos olhar para o problema sob o ponto
de vista da Dinâmica Holomorfa.
- May 24, 2019 at 15h-16h
- Title: Anosov actions which are affine
- Speaker: Dr Uirá Norberto Matos de Almeida (IME-USP)
- Abstract:
There exists a standing conjecture that higher ranked abelian Anosov actions are always algebraic.
This conjecture does not hold true for generic Anosov flows, however, it is known that in the presence
of some additional geometric conditions, it is possible to show the ”algebraicity” of this flows.
Motivated by this, we proposed the study of Anosov actions with some additional geometrical conditions.
In this talk, we present some conditions under which a higher ranked abelian Anosov action is conjugated to
an affine action of $\mathbb{R}^k$ on a homogeneous space $\Gamma \backslash G \slash H$.
We put the non-specialized public at ease and assure you that basic
concepts will be recalled and this talk is direct to the mathematical
public at large.
- USP-UNICAMP Geometry Seminar (at IME USP)
- May 17, 2019 at 14h-15h
- Title:
Hipersuperfícies mínimas em $S^5$ com curvatura escalar e
função simétrica elementar $\sigma_3$ constantes
- Speaker: prof. Luiz Amancio Machado de Sousa Junior
- Abstract: vide link
- venue: B4 (IME)
- USP-UNICAMP Geometry Seminar (at IME USP)
- May 17, 2019 at 15h-16h
- Title: ACTIONS ON POSITIVELY CURVED MANIFOLDS AND BOUNDARY IN THE ORBIT SPACE
- Speaker: prof. Claudio Gorodski (IME-USP)
- Abstract:
We study isometric actions of compact Lie groups on
complete orientable positively curved n-manifolds whose orbit space has
non-empty boundary in the sense of Alexandrov geometry and prove that
for sufficiently large
n (in terms of the Lie group), either the group has a fixed point, or a
normal subgroup thereof, containing all isotropy groups associated to
boundary strata, has a fixed point. Among our applications, we classify
representations of simple Lie groups whose orbit space has non-empty
boundary. (joint work with A. Kollross and B. Wilking).
- venue: B4 (IME)
- USP-UNICAMP Geometry Seminar (at IME USP)
- May 17, 2019 at 16:30h-17h
- Title: T-duality and mirror symmetry on nilmanifolds (Short Communications)
- Speaker:Dr Leonardo Soriani (UNICAMP)
- Abstract:
opological T-duality can be undestood as a Courant algebroid
isomorphism. This allows one to transport generalized complex
structures between T-dual spaces. Sometimes this transport has a mirror
symmetric behaviour, that is,
it transports a symplectic structure to a complex one. We show that
this phenomena translates very well into a Lie algebraic setting,
yielding the notion of infinitesimal duality, Under reasonable
assumptions, infinitesimal duality of nilpotent Lie algebras can be
upgraded to actual T-duality on corresponding nilmanifolds. We also
show how this machinery is used to transport generalized complex branes
between T-duals.
- venue: B3 (IME)
- USP-UNICAMP Geometry Seminar (at IME USP)
- May 17, 2019 at 170h-17:30h
- Title: A topological
lower bound for the energy of a unit vector fieeld on closed Euclidean
hypersurfaces (Short Communications)
- Speaker: Adriana Nicolli (IME-USP)
- Abstract:
see Link
- venue: B3 (IME)
- May 10, 2019 at 14h-16h
- Title: Métricas maximamente torcidas de curvatura harmônica
- Speaker: Prof. Andrzej Derdzinski (The Ohio State University)
- Abstract:
Uma variedade riemanniana é dita de ter
curvatura harmônicas e a divergência do seu tensor de
curvatura é nula (ou, o que é o mesmo, o seu
tensor de Ricci satisfaz `a equação de Codazzi).
Nós descrevemos a estrutura local das variedades riemannianas de
dimensões n > 2 que, al ém de possuir curvatura
harmônica, admitem o número máximo, em um sentido
bem definido, de decomposições produto torcido locais e,
ao mesmo tempo, em algum ponto, seu tensor de Ricci tem n autovalores
distintos. Mostramos também que em cada dimensão n
> 2 fixa, os tipos de isometria local de tais variedades formam um
espaço de módulos de dimens~ao finita, e que um
subconjunto aberto não
vazio deste espaço é realizado por m étricas completas.
(trabalho em colaboração com Paolo Piccione)
- March 22, 2019 at 14h
- Title:
Critérios de solubilidade de tipo Serrin para problemas de
Dirichlet para equações de curvatura média
pré-determinada em variedades
- Speaker: Dra. Yunelsy Napoles Alvarez (Puc-rio)
- Abstract:
Neste seminário apresentaremos novos resultados de
não existência e de existência de gráficos
verticais no produto MxR com curvatura média
pré-determinada H=H(x,z), onde M é uma variedade completa
de dimensão n. Como consequência de tais resultados se
derivam critérios de solubilidade sharp para o problema de
Dirichlet para a equação vertical da curvatura
média H em MxR. Esses resultados generalizam resultados
clássicos de Jenkins-Serrin e de Serrin no ambiente Euclidiano,
bem como resultados de Spruck no contexto MxR.
- venue: 241-A(IME)
- March 22, 2019 at 14h
- Title:
Critérios de solubilidade de tipo Serrin para problemas de
Dirichlet para equações de curvatura média
pré-determinada em variedades
- Speaker: Dra. Yunelsy Napoles Alvarez (Puc-rio)
- Abstract:
Neste seminário apresentaremos novos resultados de
não existência e de existência de gráficos
verticais no produto MxR com curvatura média
pré-determinada H=H(x,z), onde M é uma variedade completa
de dimensão n. Como consequência de tais resultados se
derivam critérios de solubilidade sharp para o problema de
Dirichlet para a equação vertical da curvatura
média H em MxR. Esses resultados generalizam resultados
clássicos de Jenkins-Serrin e de Serrin no ambiente Euclidiano,
bem como resultados de Spruck no contexto MxR.
- March 15, 2019 at 14h
- Title: Genuine infinitesimal bendings of Euclidean submanifolds
- Speaker: Miguel Ibieta Jiménez (IMPA)
- Abstract:
In this talk we focus on a notion of bending of a submanifold.
This notion is associated to variations of a submanifold by immersions
that preserve lengths ``up to the first order". More precisely, an
infinitesimal bending of an isometric immersion $f:M^n \to
\mathbb{R}^{n+p}$ is the variational vector field associated to
a variation of $f=f_0$ by immersions $f_t$ whose induced metrics
$g_t$ satisfy $g'_t(0)=0$. We present some results concerning
genuine infinitesimal bendings of submanifolds in low codimension. That
an infinitesimal bending is genuine means that it is not determined by
an infinitesimal bending of a submanifold of larger dimension. We show
that a strong local condition for a submanifold to be genuinely
infinitesimally bendable is to be ruled and we estimate the dimension
of the rulings. We also describe the situation for infinitesimal
bendings of compact submanifolds in codimension $2$. Finally, we give a
description of the complete Euclidean hypersurfaces that are
infinitesimally bendable.
- USP-UNICAMP Geometry Seminar (at IME USP)
- November 29, 2018 at 14h
- Title: Resolvent trace asymptotics on singular spaces
- Speaker: prof. Luiz Hartmann (UFSCar)
- Abstract:
In his seminal work ``Spectral Geometry of Singular Riemannian
Spaces'', Jeff Cheeger started an influential program on spectral
analysis on stratified spaces with singular Riemannian metrics. The
ultimate goal of the program is
to establish resolvent trace asymptotics in this very general setting.
We propose to discuss the development of Cheeger's program until the
recent days
- USP-UNICAMP Geometry Seminar (at IME USP)
- November 29, 2018 at 15.10h
- Title: Spin(7)-instantons e fibrados de Higgs
- Speaker: Pedro Manfrim
- Abstract:
Um dos interesses da teoria de calibre em dimensão
superior é estender, para holonomia especial, o resultados
obtidos em dimensão baixa. No caso de Spin(7), isso nos leva a
estudar os Spin(7)-instantons que são mínimos do
funcional de Yang-Mills. Após uma breve introdução
a esses instantons, eu mostrarei como podemos obter, por
redução dimensional, exemplos de instantons a partir de
fibrados de Higgs. Caso haja tempo, explicarei como tal
construção pode ser usada para obter instantons sobre
somas conexas torcidas.
- USP-UNICAMP Geometry Seminar (at IME USP)
- November 29, 2018 at 15.45h
- Title: Log-term of the Bergman kernel and Szegö kernel of the disc bundle over polarised manifold
- Speaker:prof. Roberto Mossa (USP)
- Abstract:
In this seminar we present the results on the vanishing of the
log-term on the Fefferman expansion of the Bergmann kernel of the disc
bundle over a homogeneous Kahler manifold obtained on Ann. Global Anal.
Geom. (2017) in collaboration with A. Loi and F. Zuddas. As well as
some new results on the vanishing of the log term of the Szegö
kernel of the corresponding unit circle bundle. These results are
related to the classical Ramadanov conjecture and are inspired by the
work of Z. Lu and G. Tian (Duke Math. J. 125:351-387, 2004). In
particular this results confirm the conjecture of Lu according to which
the coefficients a_k of the Tian-Yau-Zelditch expansion of the Kempf
distortion function, vanish for k > n if and only if the log-term of
the Szegö kernel vanishes.
- USP-UNICAMP Geometry Seminar(at IME USP)
- November 29, 2018 at 16.50h
- Title: On the Balanced condition for the Eguchi-Hanson and Simanca metrics.
- Speaker: Francesco Cannas Aghedu
- Abstract:
vide pdf.
- November 30, 2018 at 14.00h
- Title: Estimativas
do índice de Morse de hipersuperfícies CMC fechadas
em S^5 pelo segundo número de Betti.
- Speaker:prof. Darlan Ferreira de Oliveira (Universidade Estadual de Feira de Santana)
- Abstract: Neste
seminário, provaremos uma estimativa para o índice de
Morse para superfícies CMC fechadas imersas
em espaços de curvatura seccional não negativa pelo
primeiro número de Betti. Em seguida, mostraremos como
adaptar a técnica utilizada para superfícies para
obter uma estimativa para o índice de Morse de
hipersuperfícies CMC
fechadas imersas em S^5 pelo segundo número de Betti.
- November 23, 2018 at 14h
- Title:
Rigidez topológica para hipersuperfícies de formas espaciais esféricas
- Speaker: Eduardo Longa
- Abstract:
Apresentarei um resultado de rigidez topológica para
hipersuperfícies fechadas da esfera euclidiana
e de formas espacias esféricas. Sob uma certa cota inferior para o valor absoluto das curvaturas principais da
hipersuperfície, provamos que ela é difeomorfa a uma
esfera ou a um quociente da esfera por uma ação de um
grupo. Provaremos também outro resultado sobre
hipersuperfícies fechadas da esfera, que leva em
consideração
a imagem de sua aplicação de Gauss.
- October 26, 2018
- Title:
Balanced metrics on the blow-up of C2 at the origin
- Speaker: Francesco Cannas Aghedu (University of Cagliari, Italy )
- Abstract: vide link
- October 04 USP-UNICAMP Geometry Seminar (at UNICAMP)
- Prof. Stefano Nardulli (UFABC)
- Dr. Icaro Gonçalves (USP/ UFABC)
- October 05, 2018 at 14h
- Title:
Dualidade para (1,1)-tensores lineares em fibrados e uma
aplicação para estruturas de Poisson-Nijenhuis.
- Speaker: Prof. Thiago Drummond (UFRJ)
- Abstract:
Para um fibrado E, é bastante conhecida a correspondência
entre campos lineares em E (i.e. campos cujo fluxo é por
automorfismos do fibrado) e em seu dual E*. Nessa palestra,
apresentaremos uma nova dualidade para (1,1)-tensores lineares em E.
Como exemplos de tensores satisfazendo essa relação de
dualidade, tem-se: as estrutura complexas no espaço total de um
fibrado holomorfo e em seu dual; os levantamentos tangente e cotangente
de um endomorfismo da base. Como aplicação, vamos
revisitar a teoria de estruturas de Poisson-Nijenhuis usando essa
teoria de dualidade.
- September 28, 2018 at 14h
- Title: Leaf topology of minimal foliations on 3-manifolds
- Speaker: Prof. Carlos Menino Coton
- Abstract: In this
talk, we show examples of minimal hyperbolic foliations on closed
3-manifolds with a leaf homeomorphic to any closed surface puntured
along a finite set (for instance a puntured torus). Moreover, we show
examples of minimal foliations whose generic leaf is a hyperbolic plane
but there is some leaf with infinite genus. Both examples are realized
on Seifert manifolds and the transverse regularity of the foliation is
just C^1. These exemples provide interesting corollaries and constitute
a family of counterexamples to some conjectures in the area.
This is joint work with Paulo Gusmão (UFF)
- venue: 243A
- September 14, 2018 at 14h
- Title: Locally conformally symplectic convexity
- Speaker: Prof. Oliver Goertsches
- Abstract: After discussing the celebrated convexity theorem of Atiyah and
Guillemin--Sternberg, stating that the image of the momentum map of an
Hamiltonian torus action is a convex polytope, we explain a recent
generalization to locally conformally symplectic geometry obtained in
joint work with Florin Belgun and David Petrecca.
- August 17, 2018 at 14h
- Title: Split Ricci-parallel connections on SL groups
- Speaker: Andrzej Derdzinski
- Abstract: The set
E of Levi-Civita connections of left-invariant pseudo-Riemannian
Einstein metrics on a given semisimple Lie group G always includes D,
the Levi-Civita connection of the Killing form. When G is noncompact, a
still-open 1975 conjecture of Dmitry Alekseevsky, if true, would imply
that such left-invariant Einstein metrics on G are all indefinite. For
the groups of the SL series, we explicitly describe several
distinguished connected components of E. This extends an earlier
result, joint with Swiatoslaw R. Gal, of the component of E which
contains D. The emerging picture is consistent with Alekseevsky’s
conjecture. The approach focuses on connections rather than metrics,
which has the advantage of simultaneously generalizing and simplifying
the algebraic aspect of the question.
- Modern Trends in Differential Geometry: preliminary talks
- July 19, 2018 at 14h
- Title: Cone structures and Finsler spacetimes
- Speaker: Prof. Miguel Angel Javaloyes
- Abstract: We will introduce the notions of cone structures and Finsler spacetimes,
establishing an explicit relation between both concepts and providing a good amount of examples.
Indeed, we will give a characterization of all the possible Lorentz-Finsler metrics under some regularity conditions.
Finally, we will explore some basic properties of Finsler spacetimes,
which include maximizing properties of geodesics and basic results on
Causality.
- venue: Auditório Gilioli
- Modern Trends in Differential Geometry: preliminary talks
- July 19, 2018 at 15h
- Title: Uma re-definiçao do conceito de buraco negro usando fronteiras causais.
- Speaker: Dr. Jonatan Herrera
- Abstract: A
definiçao clasica de buraco negro [2,4] é apresentada em
termos da denominada fronteira conforme. Para esta aproximaçao
de buraco negro, define-se inicialmente o denominado "future null
infinity" $\mathcal{J}^+$, um subconjunto da borda conforme que joga o
role de "area de fuga" do buraco negro. Deste modo, um ponto
está fora do buraco negro se pode ser conectado com
$\mathcal{J}^+$ por meio de uma curva causal.A definiçao
anterior apresenta porem um problema importante, a fronteira conforme
nao pode ser obtida para todo modelo de espaço-tempo. Este
é o caso, como foi observado por Marolf e Ross, das ondas planas
[3]. Para evitar esse problema, nos apresentaremos uma nova
definiçao de buraco negro com base na fronteira causal. Esta
fronteira está definida para qualquer modelo de espaço
tempo fortemente causal, incluindo modelos onde a fronteira conforme
nao esta disponivel. Provaremos que a maioria das propriedades clasicas
de buraco negro sao preservadas com esta definiçao, incluindo
que as denominadas superficies atrapadas estao completamente cobertas
por buracos negros se a condiçao de convergencia luminosa
é satisfeita. Finalmente, mostraremos que as ondas planas
generalizadas causalmente continuas nao admitem buracos negros.
[1] José Luis Flores, Jónatan Herrera, and Miguel
Sánchez, On the final definition of the causal boundary and its
relation with the conformal boundary, Advances in Theoretical and
Mathematical Physics 15 (2011), no. 4, 991–1057.
[2] Stephen W. Hawking and George F. R. Ellis, The Large Scale
Structure of Space-Time (Cambridge Monographs on Mathematical Physics),
Cambridge University Press, 1975.
[3] Donald Marolf and Simon F. Ross, Plane waves: To infinity and
beyond!, Classical and Quantum Gravity 19 (2002), no. 24,
6289–6302.
[4] R.M. Wald, General Relativity, University of Chicago Press, 1984.
- venue: Auditório Gilioli
- Modern Trends in Differential Geometry: preliminary talks
- July 19, 2018 at 16:30h
- Title: Geometry of null hypersurfaces
- Speaker: Oscar Alfredo Palmas Velasco
- Abstract: In this
talk I will review the techniques for studying null hypersurfaces in
Lorentzian manifolds and give the characterization of them when adding
the condition of being totally umbilical or isoparametric.
- venue: Auditório Gilioli
- Modern Trends in Differential Geometry: preliminary talks
- July 19, 2018 at 17:30h
- Title: On isoparametric surfaces in homogeneous 3-spaces
- Speaker: Prof. Miguel Vazquez
- Abstract: A
hypersurface of a Riemannian manifold is called isoparametric if it and
its nearby equidistant hypersurfaces have constant mean curvature. In
spaces of constant curvature, Cartan proved that a hypersurface is
isoparametric
if and only if has constant principal curvatures. However, this
characterization does not necessarily hold in spaces of nonconstant
curvature. In this talk I will present a recent joint work with
José Miguel Manzano (ICMAT-CSIC, Madrid)
where we initiated the study of isoparametric surfaces and surfaces
with constant principal curvatures in homogenous 3-spaces, obtaining
their classification in the homogeneous 3-spaces with 4-dimensional
isometry group.
- venue: Auditório Gilioli
- Modern Trends in Differential Geometry: preliminary talks
- July 20, 2018 at 14h
- Title: Diameter of quotients of the sphere by isometric group actions.
- Speaker: Dr. Ricardo Mendes
- Abstract: (Joint
with C. Gorodski, C. Lange, A. Lytchak) We show the existence of C>0
such that, for all n>1 and every closed non-transitive subgroup G of
O(n+1), the diameter of the quotient of the unit sphere S^n by G is
larger than C. The novelty is that C is independent of the dimension n.
The classification of finite simple
groups is used in the proof.
- venue: Auditório Gilioli
- Modern Trends in Differential Geometry: preliminary talks
- July 20, 2018 at 15.00h
- Title: Remarks on the abelian convexity theorem
- Speaker: Prof. Leonardo Biliotti
- Abstract: in this
seminar we discuss abelian convexity theorem. Convexity along an orbit
is established in a very general setting using Kempf-Ness functions.
This is applied to give short proofs of the Atiyah-Guillemin-Sternberg
theorem and of abelian convexity for the gradient map in the case of a
real analytic submanifold of complex projective space. Finally we give
an application to the action on the probability measures. This is a
joint work with Alessandro Ghigi that
has been accepted for pubblication on PAMS.
- venue: Auditório Gilioli
- Modern Trends in Differential Geometry: preliminary talks
- July 20, 2018 at 16:30h
- Title: Extending a diffeomorphism finiteness theorem to dimension 4.
- Speaker: Prof. Curtis Pro (California State University, Stanislaus)
- Abstract: In the early 90s, Grove, Petersen, and Wu, and independently Perelman, showed in dimensions different than 4,
the conclusion of Cheeger's Finiteness Theorem still holds without the assumption of an upper curvature bound.
Namely, given numbers $k\in\mathbb R, v, D>0$, if $n\neq 4$, there
are at most finitely many differentiable structures on the class of
$n$-manifolds $M$ that support metrics with $\sec M\geq k,
\mathrm{vol}\,M\geq v,$ and $\mathrm{diam}\,M\leq D.$
In this talk, I'll present current joint work with Fred Wilhelm that
shows, with a new approach, the same is also true in dimension 4.
- venue: Auditório Gilioli
- Modern Trends in Differential Geometry: preliminary talks
- July 20, 2018 at 17:30h
- Title: A Weitzenboeck viewpoint on sectional curvature and applications
- Speaker: Prof. Renato G. Bettiol
- Abstract: In this talk, I will describe a new algebraic characterization of
sectional curvature bounds that only involves curvature terms in the
Weitzenb\"ock formulae for symmetric tensors. This characterization is
further clarified by means of a symmetric analogue of the
Kulkarni-Nomizu product, which renders it computationally amenable.
Furthermore, a related application of the Bochner technique to closed
4-manifolds with indefinite intersection form and positive or
nonnegative sectional curvature will be discussed, yielding some new
insight about the Hopf Conjecture. This is based on joint work with R.
Mendes (Univ. zu Koeln, Germany)
- venue: Auditório Gilioli
- USP-UNICAMP Geometry Seminar
- June 8, 2018 at 14h
- Title: A Holder continuidade Local do perfil isoperimétrico numa Variedade Riemanniana completa não compacta
com geometria limitada.
- Speaker: Prof. Abraham Munoz Flores-UERJ
- Abstract: vide pdf
- USP-UNICAMP Geometry Seminar
- June 8, 2018 at 15h-15:30h
- Title: An analysis of the reduced thin-sandwich equations
- Speaker: Dr. Rodrigo Avalos (UFC)
- Abstract: vide pdf
- USP-UNICAMP Geometry Seminar
- June 8, 2018 at 16h
- Title: A toy model for homogeneous contact geometry
- Speaker: Eder de Moraes Correa - IMPA
- Abstract: vide pdf
- May25, 2018 at 14h
- Title: Variedades riemannianas planas e reduzibilidade
- Speaker: Prof. Andrzej Derdzinski
- Abstract: Em um
artigo publicado no Journal of Pure and Applied Algebra (1991)Hiss e
Szczepanski provaram um teorema que estabelece a reduzibilidade da
representação de holonomia para toda variedade
riemanniana compacta plana de dimensão maior que um, com a
conclusão adicional que o subespaço invariante não
nulo e próprio do espaço tangente pode ser escolhido de
tal modo que ele seja gerado por um subconjunto do reticulado associado
à variedade dada.O que nos interessa aqui são algumas
consequências geométricas do resultado mencionado acima e
as suas ramificações no contexto dum outro teorema,
obtido pelos mesmos autores em um artigo de 1997, segundo o qual
em certas
dimensões maiores que 20 existem variedades riemannianas
compactas planas cujo primeiro numero de Betti é igual a zero.
- May 25, 2018 at 15h
- Title: Geometric Stacks and Groupoids
- Speaker: Joel Villatoro
- Abstract: This talk will survey some folklore theorems about the interaction between the theory of Lie groupoids
and geometric stacks on the site of smooth manifolds. To do this, a more general theorem
about the relationship between geometric stacks on a site and internal groupoids will be discussed.
I will show how considering alternative sites can be applied to
studying Morita equivalences of Lie groupoids equipped with additional
geometry.
- May 8, to May 10 2018, , at 14:30
- Title: An introduction to Flat Manifolds (mini-curso)
- Speaker: Prof. Prof. Andrzej Szczepanski (Gdansk, Polônia)
- Abstract:
- Lecture 1: Definitions. Crystallographic groups. Bieberbach Theorems.
- Lecture 2: Classification: Methods by H. Zassenhaus, E. Calabi and A. T. Vazquez
- Lecture 3: Symmetries of Flat Manifolds and Crystallographic Groups. Examples and open problems.
- Reference: L. S. Charlap - Bieberbach Groups and Flat Manifolds, Springer 1986
A. Szczepanski - Geometry of Crystallographic Groups, World Scientific 2012
J. Wolf - Spaces of constant curvature, McGraw - Hill, 1967
- USP-UNICAMP Geometry Seminar
- May 4, 2018 at Unicamp
- 13:00 - 13:15 - Leonardo Cavenaghi (USP)
- 13:15 - 14:00 - Daniel Fadel (IMECC)
- 14:00 - 15:00 - Carlos Grossi (ICMC-USP SCar)
- 15:00 - 15:15 - Intervalo
- 15:15 - 16:15 - Paolo Piccione (IME-USP)
- Abstracts: see http://www.ime.unicamp.br/~geodif/
- April 20, 2018 at 14h
- Title: Holonomic submanifolds
- Speaker: Marcos Dajczer (IMPA)
- Abstract:An isometric immersion of a Riemannian manifold into a space form is said to be holonomic if the manifold carries
a global system of orthogonal coordinates such that at any point the
coordinate vector fields diagonalize the second fundamental form.
In this talk I will discuss several results, ranging from classical to
recent, about these submanifolds.
- April 25, 2018 at 15h
- Title: A classification of semistable Higgs bundles on Calabi-Yau manifolds
- Speaker: Valeriano Lanza
- Abstract: In a
recent work by Biswas, Bruzzo, Graña Otero and Lo Giudice it is
shown that on a simply connected Calabi-Yau manifold there is no
polystable Higgs bundle with nontrivial Higgs field. The same is not
true for semistable Higgs bundles, as examples can be easily provided.
Nevertheless, Higgs fields for semistable Higgs bundles on Calabi-Yau
manifolds are strongly constrained. The goal of this talk is to discuss the situation for bundles of low rank,
for which we are able to provide a complete classification of possible
Higgs fields. Furthermore, we provide also an application to a
conjecture about a particular class of semistable Higgs bundles (the
so-called curve
semistable ones), which is proved for K3 and related surfaces.
- March 7, 2018 at 14h
- Title: Robust index bounds for minimal hypersurfaces in compact symmetric spaces and isoparametric submanifolds
- Speaker: Dr Ricardo Mendes (Universitaet zu Koeln)
- Abstract: (joint work with C. Gorodski and M. Radeschi)
It has been conjectured by Marques-Neves-Schoen that, for every compact
Riemannian manifold (M,g) with positive Ricci curvature, there exists a
positive constant C such that every closed minimal hypersurface of M
has Morse index bounded below by C times its first Betti number. This
conjecture has been verified for the spheres by Savo, for every compact
rank
one symmetric space by Ambrozio-Carlotto-Sharp, and for every compact
symmetric space (with the index replaced with index plus nullity) by
Mendes-Radeschi. In the present work we expand this list of examples to
infinitely many isoparametric hypersurfaces of spheres and their focal
manifolds. We also show that, for all our new examples, as well as many
of the
previously known examples (including the spheres), such an index bound
remains valid after any small deformation of the ambient metric g.
- February, 22, 2018 at 15h
- Title: Transnormal functions in Finsler spaces and some application in Physics.
- Speaker: Hengameh Raeisi (ime-usp)
- Abstract: In this talk, we state some results on transnormal functions on Finsler spaces
and singular foliation of codimension 1. Then some applications of transnormal functions in Physics
are provided, such as propagation of the wildfire.
- Dezember 8, 2017, 2017 14:00h
- Title: Killing foliations via deformations
- Speaker: Francisco Carlos Caramello Junior (UFScar
- November 24, 2017 14:00h
- Title: Curvatura harmônica – nenhum caso genérico
- Speaker: Prof. Andrzej Derdzinski (Ohio)
- November 24, 2017 16:30h
- Title: Folheações ortogonais em variedades riemannianas
- Speaker: Euripedes carvalho (Ime-USP/ IFCE-Ceará)
- November 24, 2017 15:00h
- Title: Principais Resultados sobre a Conjectura de Chern
- Speaker: Prof. Luiz Amancio Jr. (Uni-Rio)
- Abstract: vide Link
- November 10, 2017 15:15h
- Title: Navegando em um espaço folheado
- Speaker: Benigno Alves (IME-USP)
- USP-Unicamp Seminar (at IME-USP)
- November 10, 2017 15:30h
- Title: Imersões e Spinors
- Speaker: Prof. Rafael Leão (Unicamp)
- October 20 2017 , 2017 14h
- Title: Real geometric quantisation of K3 surfaces
- Speaker: Dr. Romero Solha (Puc-rio)
- USP-Unicamp Geometry
seminar
- October 6 2017, 2017 14h
- Title: The Geometry of Orbit Spaces:Quaternionic-torus reductions.
- Speaker: Dr. Francisco J. Gozzi (USP/UFABC)
- Place: Imecc-Unicamp
- USP-Unicamp Geometry
seminar
- October 6 2017, 2017 15h
- Title: Construction of G2G2-instantons via twisted connected sums
- Speaker: Prof. Henrique Sá Earp (UNICAMP)
- Place: Imecc-Unicamp
- September 29, 2017 14h
- Title: Aplicações de Deformações de Cheeger em curvatura positiva
- Speaker: Leonardo Francisco Cavenaghi (Unicamp)
- September 29, 2017 15h
- Title: On some equivariantly related G-manifolds (continuation of Leonardo's talk)
- Speaker:Prof. Llohann Dallagnol Sperança
- September 22, 2017 14h
- Title: The Geometry of Orbit Spaces:Quaternionic-torus reductions
- Speaker: Dr. Francisco J. Gozzi (usp/ ufabc)
- September 15, 2017, 14h
- Title: Complete minimal submanifolds with nullity in space forms.
- Speaker: Prof. Marcos Dajczer -impa
- September 15, 2017 15h
- Title: Minimal hypersurfaces in compact symmetric spaces
- Speaker: Dr. Ricardo Mendes- Uni zu Koeln
- August 11, 2017, at 11:00h
- Title: Riemannian Yang-Mills connections with quadratic constraints
- Speaker: Prof. Andrzej Derdzinski, The Ohio State University
- July 07, 2017, at 14:00h
- Title: On the moduli space of isometric surfaces with the same mean curvature in 4-dimensional space forms
- Speaker: Prof. Theodoros Vlachos (at ime-usp)
- June 23, 2017, at 14:00h
- Title: Configuraçoes de Bandeiras
- Speaker: Prof. Elisha Falbel (Université Paris 6 )
- June 9, 2017: at 14:00h
- Title: Gelfand pairs, Symmetric Spaces and Symplectic Realizations
- Speaker: Prof. Rui Loja Fernandes (University of Illinois)
- June 2, 2017: at 14:00h
- Title: A new class of minimal submanifolds
- Speaker: Prof. Marcos Dajczer (IMPA)
- May 26, 2017 2017: at 14:00h
- Title: Curvatura extrínseca de órbitas de representações
- Speaker: Artur Bicalho (IME-USP)
- May 12, 2017: at 14h
- Title: Holomorphic curves and symplectic embedding problems
- Speaker: Dr Keon Choi (IME-USP)
- May 9, 2017: at 14:30h
- Title: Harmonic curvature in dimension four
- Speaker: Prof. Andrzej Derdzinski
- USP-Unicamp Geometry
seminar
- May 5, 2017: at 15h
- Title: Rigidity and Vanishing of Basic Dolbeault Cohomology of Sasakian Manifolds
- Speaker: Prof. Dirk Toeben (Ufscar)
- Place Imecc-Unicamp
- USP-Unicamp Geometry
seminar
- May 5, 2017: at 14h
- Title: Closure of singular foliations: the proof of Molino's conjecture
- Speaker: Prof. Marcos M. Alexandrino (IME-USP)
- Place: - Imecc-Unicamp
- April 28, 2017: at 14h
- Title: On the geometry of submanifolds of the conformal sphere
- Speaker: Prof. Marco Magliaro (UFC)
- April 28, 2017: at 15h
- Title: T-duality on nilmanifolds
- Speaker: Dr. Viviana del Barco (Unicamp)
- USP-Unicamp Geometry
seminar
- April 07, 2017 at 14h
- Title:Entire unbounded constant mean curvature Killing graphs.
- Speaker: Prof. Marcos Dajczer (IMPA)
- Place: at IME-USP
- USP-Unicamp Geometry
seminar
- April 07, 2017: at 15h
- Title: Gauge theory and G2-geometry on Calabi-Yau
- Speaker: Dr.Lazaro Rodríguez (IMECC)
- Place: at IME-USP
- March 31, 2017: at 16h
- Title:String structures and Courant Reductions
- Speaker: Dr Pedram Hekmati (IMPA)
- March 30, (thursday) 2017 at 14h
- Title: Totally geodesic Riemannian foliations on Lie groups
- Speaker: Prof. Llohann Dallagnol Sperança (Unifesp)
- March 27, 29,31 2017
- Lectures: Subvariedades e ações isométricas em espaços simétricos de tipo não compacto
- Speaker: Prof. Miguel Vazquez (Madrid Spain)
- March 21, 2017 (tuesday): at 14h
- Title: Capacidades simplécticas dos espaços Hermitianos simétricos,
- Speaker: Prof. Roberto Mossa
- March 16, 2017 (thursday) at 14h
- title: Kähler manifolds with geodesic holomorphic gradients
- Speaker: Andrzej Derdzinski (The Ohio State University)
- February 6, 2017 : at 14h
- Title: The space of positive scalar curvature metrics
- Speaker: Prof. Bernhard Hanke
- 2016-11-25: at 14h
- Title: Homotopy Invariance in Lie Theory
- Speaker: Dr. Pedro Frejlich
- 2016-11-11: at 14h
- Title: Wind Finslerian structures: from Zermelo's navigation to the causality of spacetimes
- Speaker: Prof. Miguel Angel Javaloyes(Murcia-Spain)
- 2016-11-04: at 14h
- Title: Closure of singular foliations: the proof of Molino's conjecture
- Speaker: Prof. Marcos. M. Alexandrino (IME-USP)
- 2016-10-21: at 14h
- Title: Compatible triples on Lie algebroids with vector bundle metric
- Speaker: Prof. Nicolas Martinez
- 2016-10-07: at 14h
- Title: Teoria de Teichm\"uller e Colapso de Variedades Planas
- Speaker: Paolo Piccione
- 2016-08-26: at 14h
- Title: The Log-Convex Density Conjecture
- Speaker: Prof. Frank Morgan (Williams College)
- 2016-08-26: at 15:20h
- Title: Stability of measures on compact kahler manifold
- Speaker: Prof. Leonardo Billiot (Parma)
- 2016-07-01: at 14h
- Title: Subvariedades Reais em Espaços Complexos
- Speaker: Dr. Valentin Burcea
- 2016-06-24: at 14h
- Title: Gauge theory on contact 5-manifolds
- Speaker: Dr Pedram Hekmati (impa)
- 2016-06-17: at 14h
- Title: Totally Geodesic Riemannian Foliations on Lie Groups
- Speaker: Prof. Llohann Dallagnol Sperança (Centro Politécnico da UFPR)
- 2016-05-20: at 14h
- Title: Superfícies umbílicas do produto de duas formas espaciais.
- Speaker: Prof. Jaime Leonardo Orjuela Chamorro (IM-UFBA)
- 2016-05-20: at 15h
- Title: The curvature of orbit spaces
- Speaker: Prof. Claudio Gorodski (IME-USP)
- 2016-05-13: at 14h
- Title: Ciclos folheados em variedades complexas
- Speaker: Lucas Kaufmann (Paris 06)
- 2016-05-06: at 14h
- Title: The Euler class of an umbilic foliation.
- Speaker: Ícaro Gonçalves (IME-USP)
- 2016-04-29 at 14h
- Title: Hypersurfaces with constant mean curvature and three principal curvatures in S^{n+1}.
- Speaker: Prof. Sebastião Carneiro de Almeida (UFC)
- 2016-04-01 at 14h
- Title: Cuts, surgeries and toric contact structures
- Speaker: Prof Miguel Abreu (Instituto Superior Técnico, Lisboa)
- 2016-04-01 at 15h
- Title: Some applications of Lorentzian geometry to Teichmuller geometry
- Speaker:Prof. François Fillastre (France)
- 2015-11-19 at 15h (thursday)
- Title: Transverse measures and densities: from leaf spaces to differentiable stacks.
- Speaker: João Nuno Mestre
- 2015-11-06 at 14h
- Title: Gauge theory on stacks
- Speaker: Prof. Ugo Bruzzo (Scuola Internazionale Superiore di Studi Avanzati -Trieste/ UFSC)
- 2015-10-23 at 14h
- Title: Folheações polares nos espaços projetivos quaterniónicos.
- Speaker: Dr. Miguel Domínguez Vázquez (Impa)
- 2015-10-23 at 15h
- Title: Isoparametric hypersurfaces in complex hyperbolic spaces.
- Speaker: Víctor Sanmartín López (Universidade de Santiago de Compostela)
- 2015-10-16 at 14h
- Title: The shape space defined by the Gromov-Wasserstein distance
- Speaker: Prof. Facundo Memoli (Ohio State University)
- 2015-10-09 at 14h
- Title: Blow-ups of isometric actions and applications
- Speaker: Prof. Marcos Alexandrino (IME-USP)
- 2015-10-02 at 15:00h
- Title: Campos de Darboux em subvariedades de codimensão 2 contidas em hipersuperfícies.
- Speaker: Prof. Marcos Craizer (PUC-Rio)
- 2015-10-02 at 14:00h.
- Title: A Poincaré-Birkhoff theorem for Reeb flows on the tight $3$-sphere
- Speaker: Prof. Pedro Salomão (IME-USP)
- 2015-9-28 at 11h (monday-special section)
- Title: Rank rigidity in dimension 3
- Speaker: Dr. Renato Bettiol (Upenn)
- 2015-9-25 at 14h
- Title: On a Result of Berger.
- Speaker: Prof. Llohann Dallagnol Sperança (UFPR)
- 2015-9-18 at 14h
- Title: Lie groupoids and vector fields on differentiable stacks
- Speaker: Prof. Cristián Ortiz (IME-USP)
- 2015-9-04 at 14h
- Title: Smooth functions constant on the leaves of singular Riemannian foliations.
- Speaker: Dr. Ricardo Mendes (WWU-Munster)
- 2015-8-28 at 14h
- Title: Min-max, phase transitions and minimal hypersurfaces
- Speaker: Marco Méndez (Impa)
- 2015-8-28 at 15h
- Title: Cohomologia básica equivariante de uma folheação Riemanniana
- Speaker: Prof Dirk Toeben (UFscar)
- 2015-8-28 at 16h
- Title: IHyperbolic volumes of polyhedra with symmetries
- Speaker: Prof.
Nikolay Abrosimov (Sobolev Institut of Mathematics-Russia)
- 2015-8-21 at 14h
- Title: Integração e fórmulas de localização em geometria simplética
- Speaker: Carolina Torres Lozano (IME-USP)
- 2015-8-14 at 14h
- Title: Rigidity of generalized graph manifold
- Speaker: Prof. Wolfgang Ziller (Upenn)
- 2015-8-07 at 14h
- Title: Representations of 3-manifold fundamental groups into SL(n,C)
- Speaker: Prof. Elisha Falbel (Université Paris 6)
- 2015-8-07 at 15h
- Title: Constant scalar curvature Kahler metrics on manifolds.
- Speaker: Prof. Bianca Santoro (CUNY)
- Date: 2015-8-07 at 16:30h.
- Title: Mass in Kahler geometry
- Speaker: Prof. Hans Joachim Hein (University of Maryland)
- 2015-7-03 at 11h
- Title: Special Lagrangian Curvature
- Speaker: Prof. Graham Smith (UFRJ)
- 2015-7-03 at 14h
- Title: Estendendo subvariedades nos espaços simétricos de tipo não compacto
- Speaker: Dr. Miguel Dominguez Vázquez (IMPA)
- Date: 2015-06-19| 2015-06-26| 2015-7-03 at 15:15
- Title: (Workshop) Constructing Polar Actions
- Speaker: Dr. Franscisco Gozzi (IME-USP)
- 2015-6-26 at 14h
- Title: Singular subalgebroids and their integration
- Speaker: Prof Marco Zambon (KU Leuven)
- Date: 2015-6-12 at 14h.
- Title: The asymptotic Plateauís problem for minimal submanifolds and CMC hypersurfaces in a Hadamard manifold
- Speaker: Prof. Jaime Ripoll - Universidade Federal do R. G. do Sul.
- Date: 2015-03-27 at 14h.
- Title: Convexity of the solutions to the constant mean curvature spacelike surface equation in $\mathbb{L}^3$
- Speaker: Dr. Alma Albujer (University of Córdoba-Spain)
- Date: 2015-03-27 at 15h.
- Title: Dual characterizations of the $n$-dimensional sphere and hyperbolic space
- Speaker: Dr. Magdalena Caballero (University of Córdoba- Spain)
- Date: 2015-03-20 at 14h.
- Title: Homotopy type of spaces of curves with constrained curvature on flat surfaces.
- Speaker: Dr. Pedro Zühlke (IME-USP)
- Date: 2015-03-13 at 14h.
- Title: Existence and caracterization of isoperimetric regions in locally asymptotically Euclidean Riemanniana manifolds.
- Speaker: Prof. Stefano Nardulli (UFRJ)
- Date: 2014-11-07 (friday) at 14h00
- Title: Categoría tangente de folheações e teoría de pontos críticos
- Speaker: Dr. Carlos Menino (Puc-Rio)
- Date: 2014-10-17 (friday) at 14h00
- Title: Ehresmann Theorem for stacks
- Speaker: Dr. Matias L. del Hoyo (IMPA)
- Date: 2014-10-10 (friday) at 14h00
- Title: Mean curvature flow of orbits of isometric actions
- Speaker: Prof. Marcos M. Alexandrino (IME-USP)
- Date: 2014-09-26 (friday) at 14h00
- Title: Laçós nao triviais no grupo fundamental do grupo de difeomorfismos das orbitas coadjuntas.
- Speaker: Prof. David Martínez Torres (PUC-rio)
- Date: 2014-09-26, 15h
- Title: G-Estruturas (parte II)
- Speaker: Prof. Ivan Struchiner (IME-USP)
- Location: Sala 266-A
- Date: 2014-09-19 (friday) at 14h00
- Title: Números Caraterísticos de Variedades e Folheações via Localização
- Speaker: Prof. Dirk Toeben (UFSCar)
- Date: 2014-08-29 (friday) at 14h00
- Title: Zermelo navigation and flag curvature in pseudo-Finsler metrics
- Speaker: Prof Miguel Angel Javaloyes (Murcia-Spain).
- Date: 2014-08-15 (friday) at 14h00
- Title: Ações Polares de Dimensão Baixa
- Speaker: Francisco J. Gozzi (IMPA)
- Date: 14-08-08 at 14h00
- Title: Ações isométricas em esferas cujo espaço de órbitas é um orbifold Riemanniano
- Speaker: Prof: Claudio Gorodski (IME-USP)
- Date: 14-05-30 at 11h00
- Título : Folheações isoparamétricas não homogêneas e números primos.
- Speaker: Dr. Miguel Domínguez Vázquez (Impa).
- Date: 14-05-30, at 14h00
- Title:
Título: Uma limitação para a norma do supremo de
autofunções do Laplaciano em variedades riemannianas de
volume infinito
- Speaker: Patricia Kruse Klaser (UFRGS)
- Date: 14-04-16 at 15h00
- Title: Surface Theory in the product of pseudo-Riemannian two-manifolds
- Speaker: Dr. Nikos Georgiou (UFSCar)
- Date: 4-04-14 , 14h
- Title: Entire bounded constant mean curvature Killing graphs
- Speaker: Prof. M. Dajczer (IMPA)
- Date 4-04-14 15hs:
- Title: Exceptional minimal surfaces in spheres
- Speaker: Th. Vlachos (Ioannina, Grécia)
- Date: 28/ 03/ 14- 14h
- Title: Yamabe-type equations with sign-changing nonlinearity on non-compact manifolds.
- Prof. Luciano Mari (UFC)
- Sala: B-09
- Date 28/03/13- 15h
- Title:O teorema de Gauss Bonnet no espaço de Heisenberg H^1 do ponto de vista subriemanniano
- Prof:Prof. José Veloso (UFPA)
- Sala B-09
- Date: 29/11/13- 14h
- Title: Isoperimetric regions in cylinder spaces
- Speaker: Prof. Jesus Gonzalo Perez (Univ. Autonoma de Madrid, Espanha)
- Date: 25/10/13- 14h
- Title: Hyperpolar actions on noncompact symmetric spaces
- Speaker: prof. Jürgen Berndt (King's College London)
- Date: 17/10/13- 14h
- Title: Complex hyperbolic bundles and the turnover
- Speaker: prof. Carlos Grossi ( ICMC)
- Date: 11/10/13- 14h
- Title:
- Speaker: Oscar Ocampo (IME - USP)
- Date: 11/10/13- 15h
- Title: Jacobi fields and conjugate points of quadratic Finsler metrics
- Speaker: Miguel Angel Javaloyes
- Date: 27/09/2013 , 15:00 h
- Titile: O teorema do tipo de órbita
principal para grupóides de Lie
- João Nuno Mestre
- Date: 20/09/2013,
15:00h
- Title: O
colchete de Frölicher-Nijenhuis em grupóides de Lie.
- Speaker: Prof.
Thiago Drummond (UFRJ)
- Date: 20/09/ 2013
- Títle: Esferas Afins Impróprias
de Dimensão Par
- Speaker: Prof. Marcos Craizer (PUC - Rio)
- Date: 20/09/2013,
14:00h
- Title: Esferas Afins
Impróprias de Dimensão Pars
- Speaker: prof.
Miguel Angel Javaloyes da Universidade de Murcia (Espanha)
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