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).