Invariants of Graphs, Their Associated Clique Complexes and Right-Angled Coxeter Groups

GEOMETRY AND CELL COMPLEXES
Topic:Invariants of Graphs, Their Associated Clique Complexes and Right-Angled Coxeter Groups
Speaker:Michael Davis
Affiliation:The Ohio State University; Member, School of Mathematics
Date:Tuesday, October 19
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/gcell/davis

Associated to any simplicial graph there is a right-angled Coxeter group. Invariants of the Coxeter group such as its growth series or its weighted L^2 Betti numbers can be computed from the graph's clique complex (i.e., its flag complex).