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Finite quotients in low-dimensional geometry

Event Category:
Geometry and Topology Seminar
Tam Cheetham-West

Free groups, surface groups, and the fundamental groups of 3-manifolds have lots of finite quotients. These quotients define a natural topology on the groups that lets us distinguish them from other groups using only the data of finite quotients. We will survey examples and theorems, before discussing a connection between finite quotients of fibered, hyperbolic 3-manifolds and the congruence topology on mapping class groups.

Friday, December 1, 2023 - 2:30pm
LGRT 1681