Departmental Colloquium
Daniel Groves
UIC
3-manifold groups?
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.
Friday September 26, 2025 at 3:00 PM in 636 SEO