| Lectures |
Title |
| 1 |
Fixed points, stable and
unstable manifolds and Fatou-Bieberbach domains |
| 2 |
Hénon maps, Julia sets,
the Böttcher coordinate and the structure of the escaping locus |
| 3 |
Linked solenoidal maps
and the non-transversality invariant |
| 4 |
Small perturbations of
hyperbolic polynomials |
| 5 |
The Bonnot model |
| 6 |
Parameter space, a first
look: the horseshoe locus and the monodromy map |
| 7 |
Parameter space, a
second look: tangencies of J+ and J- |
| 8 |
(Continued) |
Second Session: Thurston's
Hyperbolization (15
Oct-26 Oct)
2015 Lectures: Thurston's Hyperbolization Theorem (November
2015)
| Lectures |
Title |
Files |
| 1 |
Introduction:
Hyperbolization and 3-manifolds |
Lec1 |
| 2 |
Pseudo-Anosov
maps, Teichmuller space. Quasi-fuchsian representations. |
Lec2 |
| 3 |
Double limit theorem, iteration in Teichmuller space. | Lec3 |
| 4 |
Bers' theorem, degenerating sequences, R-trees. | Lec4 |
