Geometry, Topology and Dynamics Seminar
Michelle Chu
UIC
Counting hyperbolic manifolds which bound geometrically
Abstract: A hyperbolic n-manifold is said to bound geometrically if it is isometric to the boundary of a hyperbolic (n+1)-manifold
with totally geodesic boundary. We might expect that most hyperbolic manifolds will not bound geometrically, and if
they do then their volumes should be quite big. In this talk I will discuss how the number of arithmetic hyperbolic
manifolds which bound geometrically grows with volume. This is joint work with Sasha Kolpakov.
Monday October 14, 2019 at 3:00 PM in 636 SEO