THEMATIC PROGRAMS

July 22, 2014

Spring 2006
Holomorphic Dynamics, Laminations, and Hyperbolic Geometry

Mini Courses on Recent Advances in Hyperbolic 3-manifolds

Jeff Brock (Brown University)
Ken Bromberg (University of Utah)
Dick Canary (University of Michigan)
Juan Souto (University of Chicago)

May 15- 19, 2006
Audio of talks

May 15
Monday: 2-3 pm
1) Introduction to hyperbolic 3-manifolds
Jeff Brock
May 16
Tuesday 2-3 p.m.
2) The main conjectures
Dick Canary
May 16
Tuesday 3:30 - 4:30 p.m.
3) Tameness
Juan Souto
May 17
Wed 11-12 a.m.
4) The ending lamination conjecture, I
Dick Canary
May 17
Wed 2-3 p.m.
5) The ending lamination conjecture, II
Jeff Brock
May 18
Thurs 11-12 a.m.
6) Topology of deformation spaces, I
Ken Bromberg
May 18
Thurs 2-3 p.m.
7) Topology of deformation spaces, II
Ken Bromberg
May 19
Friday 11-12
8) Compressible surfaces and volume bounds
Juan Souto

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.

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