Today we are happy to welcome Michelle Chu back. She is stopping by here before going off to redbud this weekend. Also, today after seminar we can organize redbud travel as best as possible. Title: Coxeter groups, arithmetic reflection groups, and Vinberg’s algorithm Speaker: Michelle Chu, UCSB Date: Apr 23, 2019 Time: 3:30 PM Room: MSCS 509 Abstract: Coxeter groups and arithmetic reflection groups are broad classes of groups relevant to the study of hyperbolic manifolds. To make this connection more concrete we can build a fundamental domain for a hyperbolic reflection group using Vinberg’s algorithm. In this expository talk I will introduce and discuss these ideas, which will serve to give some of the important background for my talk at Redbud later in the week. ______________________ Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman