Mini Courses on Recent Advances in Hyperbolic 3-manifolds
Description
Jeff Brock, Ken Bromberg, Dick Canary and Juan Souto will give an 8-lecture minicourse on hyperbolic geometry and the deformation theory of hyperbolic 3-manifolds. The lectures will begin with a short introduction to the basic features of hyperbolic 3-manifolds, and describe the main structural conjectures which have recently been settled. There will be more detailed lectures discussing the proofs of the Tameness Conjecture and the Ending Lamination Conjecture, the phenomenon of bumping of components in the deformation space (analogous to parabolic bifurcations in dynamics), and further work on obtaining uniform estimates on the geometry of hyperbolic 3-manifolds from topological data.
Schedule
| 14:00 to 15:00 |
1) Introduction to hyperbolic 3-manifolds
Jeff Brock, Brown University and Yale University |
| 14:00 to 15:00 |
2) The main conjectures
Richard Canary, University of Michigan |
| 15:30 to 16:30 |
3) Tameness
Juan Souto, Centre national de la recherche scientifique (CNRS) and Université de Rennes 1 |
| 11:00 to 12:00 |
4) The ending lamination conjecture, I
Richard Canary, University of Michigan |
| 14:00 to 15:00 |
5) The ending lamination conjecture, II
Jeff Brock, Brown University and Yale University |
| 11:00 to 12:00 |
6) Topology of deformation spaces, I
Kenneth Bromberg, University of UT |
| 14:00 to 15:00 |
7) Topology of deformation spaces, II
Kenneth Bromberg, University of UT |
| 11:00 to 12:00 |
8) Compressible surfaces and volume bounds
Juan Souto, Centre national de la recherche scientifique (CNRS) and Université de Rennes 1 |
