G-equivariant PL-Morse theory

Geometry Topology Student Seminar
Wednesday, November 3, 2021 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006 (also in BlueJeans)
Daniel Minahan – Georgia Tech
Roberta Shapiro and Weizhe Shen

Please Note: BlueJeans link: https://bluejeans.com/473141052/9784

Morse theory is a standard concept used in the study of manifolds.  PL-Morse theory is a variant of Morse theory developed by Bestvina and Brady that is used to study simplicial complexes.  We develop an extension of PL-Morse theory to simplicial complexes equipped with an action of a group G.  We will discuss some of the basic ideas in this theory and hopefully sketch proofs of some forthcoming results pertaining to the homology of the Torelli group.