2007-04-20

James Parkinson, Cornell University

Kac-Moody groups and Hecke algebras

In this talk we discuss the Hecke algebras and Hecke modules associated to Kac-Moody groups, and the affine Hecke algebras and modules associated to loop groups. The discussion will center around combinatorial descriptions of intersections of various double cosets in terms of folded alcove walks in the Weyl group (equivalently, retractions in the building).