Satake isomorphism for affine Kac-Moody groups
| TOWARDS 2-DIMENSIONAL GEOMETRIC LANGLANDS DUALITY | |
| Topic: | Satake isomorphism for affine Kac-Moody groups |
| Speaker: | Alexander Braverman |
| Affiliation: | Brown University |
| Date: | Thursday, January 17 |
| Time/Room: | 10:30am - 12:30pm/S-101 |
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 representations of the Langlands dual affine Kac-Moody group. If time permits, we might discuss how these results can be used to define and study the notion of Hecke eigenfunction in the affine case.
This is a joint work with D.Kazhdan.