University of Georgia

Mathematics Department Colloquium

Professor Mark Feshbach

University of Minnesota

January 8, 2004

The cohomology of Coxeter groups

Abstract: Coxeter groups are well known for having very pleasing properties. In this talk we show that the mod two cohomology of finite Coxeter groups is quite nice as well. The main result is that a map defined by Quillen is an isomorphism. In practice this means that one can understand the cohomology of these groups more easily than most. The result is joint work with Jean Lannes.