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THEMATIC PROGRAMS |
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October 8, 2024 | ||||||||||||||||||
Spring 2006
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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.