The cohomological dimension of the terms of the Johnson filtration
- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, October 26, 2022 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Dan Minahan – Georgia Tech – dminahan6@gatech.edu
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.