Fall 2015 @ Brown

December 3, 2015

Dick Canary (University of Michigan)

Title: Windows, cores and skinning maps.

Abstract: Thurston’s skinning map encodes crucial information about the relationship between the asymptotic geometry and the internal geometry of an infinite volume hyperbolic 3-manifold. In the acylindrical case, Thurston’s Bounded Image Theorem asserts that the skinning map has bounded image. This result played a role in Thurston’s original proof of his Geometrization Theorem.

In this talk, we will discuss a generalization of Thurston’s result to the setting of deformation spaces of hyperbolic 3-manifolds with freely decomposable fundamental group. The key new tool is a Uniform Core Theorem for sequences of homeomorphic hyperbolic 3-manifolds. We will also discuss potential applications. This is joint work with Ken Bromberg, Jeff Brock and Yair Minsky.

Time Event Location
12:00 - 1:00 Lunch Math Common Room (Kassar House)
1:00 - 2:00 Informal Seminar: Isaac Solomon (Brown) Math Common Room (Kassar House)
2:00 - 2:30 Coffee break Math Common Room (Kassar House)
2:30 - 3:30 Seminar: Dick Canary (University of Michigan) Kassar 205