Date: Tuesday, December 07, 2021
Location: virtual (4:00 PM to 5:00 PM)
Title: Finite quotients of 3manifold groups
Abstract: Let G and H be two finite groups. Does there exist a 3manifold whose fundamental group admits G as a quotient but not H? We prove a theorem that determines the answers to questions of this type. The proof, when we need to show that a 3manifold with certain properties exists, relies on a probabilistic argument  we estimate the probability that a random 3manifold (according to a distribution defined by Dunfield and Thurston) has those properties. Our methods thus mix topology, group theory, and probability, and they were inspired by work in number theory. This talk will discuss the connections to those fields. This is joint work with Melanie Wood.
https://umich.zoom.us/j/97472072420?pwd=T0w3MHpEd2NRMlQ4WjFpdUdnN3BGUT09
Meeting ID: 974 7207 2420
Passcode: UMColloq
Files:
Speaker: Will Sawin
Institution: Columbia University
Event Organizer:
