Wed, October 25, 2023
4:10 pm - 5:40 pm
https://osu.zoom.us/j/4637843856?pwd=Q1EvZXRtU25Kb1RleU84YXRhNnc1QT09
Title: The Steinberg module of the mapping class group
Speaker: Nathan Broaddus
Abstract: I will introduce the Steinberg module of the mapping class group and discuss Harer’s resolution via the arc complex of a surface. Using the combinatorics of arc systems, I will show that the Steinberg module is cyclic and talk about how to give a single generator presentation for the Steinberg module of the braid group.
Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn Semester. Pre-candidacy PhD students can sign up for this lecture series by registering for one or two credit hours of Math 6193 with Professor Nimish Shah.