Daniel Groves : 3-manifold groups?

Posted by Dhruv Mubayi , part of the Departmental Colloquium.

At

Sept. 26, 2025, 3 p.m.

In

636 SEO

Abstract

Due to a vast amount of work over the last decades, the fundamental groups of 3-manifolds are by now very well understood. I will focus on the following (wide open) question: When is a discrete group the fundamental group of a compact 3-manifold? I'll discuss the background to this question, what is known in various dimensions, and then focus on the case of greatest interest in 3 dimensional topology - the hyperbolic case. Finally, I'll report on some recent work around this question in joint work with Haissinsky, Manning, Osajda, Sisto, and Walsh.