Previous Special Year Seminar

Equivariant localization relates the geometry of a space to the geometry of the fixed points of a group action. A categorified application of this technique allows one to recover D-modules on a smooth space from coherent sheaves on its loop space...

In this talk we plan to define and study the spherical Hecke algebra for (untwisted) affine Kac-Moody groups over a local non-archimedian field. We shall prove a generalization of the Satake isomorphism for these algebras, relating it to integrable...