The cohomological dimension of the terms of the Johnson filtration

Series
Geometry Topology Student Seminar
Time
Wednesday, October 26, 2022 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Dan Minahan – Georgia Tech – dminahan6@gatech.edu
Organizer
Sierra Knavel

Abstract: How big is a group?  One possible notion of the size of the group is the cohomological dimension, which is the largest n for which a group G can have non—trivial cohomology in degree n, possibly with twisted coefficients.  Following the work of Bestvina, Bux and Margalit, we compute the cohomological dimension of the terms Johnson filtration of a closed surface.  No background is required for this talk.