Wed, 30 Oct 2024
16:00
L6

Counting subgroups of surface groups

Sophie Wright
(University of Bristol)
Abstract

The fundamental group of a hyperbolic surface has an infinite number of rank k subgroups. What does it mean, therefore, to pick a 'random' subgroup of this type? In this talk, I will introduce a method for counting subgroups and discuss how counting allows us to study the properties of a random subgroup and its associated cover.

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