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Ciclo de palestras: 

Professor:

Prof. Giuseppe Tinaglia (King's College)

Organized by:

Prof. Paolo Piccione   

Place:

Auditório Jacy Monteiro, no bloco B
 


  • Date: 5-13,  16-18h
  • Title: On the topology of the limits of a sequence of embedded minimal disks.
  • Abstract: The work of Colding-Minicozzi gives that a sequence of embedded minimal disks converges, up to a subsequence, to a minimal lamination away from a closed set of singular points. In several examples of Colding-Minicozzi and others, the leaves of such lamination are disks, while Hoffman-White recently produced examples where some of the leaves are annuli.  In this talk I will describe several results on the topology of the leaves of such lamination in a manifold that admits an isoperimetric inequality for minimal surfaces. For instance, each leaf has genus zero. This is joint work with Bernstein.

  • Date: 5- 15, 14-16h
  • Title: The geometry of constant mean curvature disks embedded in R3.
  • Abstract: In this talk I will survey results on the geometry of constant mean curvature surfaces embedded in R3. Among other things I will prove radius and curvature estimates for nonzero constant mean curvature embedded disks. It then follows from the radius estimate that the only complete, simply connected surface embedded in R3 with constant mean curvature is the round sphere. This is joint work with Bill Meeks.