EVENT DETAILS AND ABSTRACT

Title: Geometry of generalized affine Springer fibers
Speaker: Jingren Chi
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

This talk is about certain generalization of affine Springer fibers that arises naturally in the study of orbital integrals of spherical Hecke functions on a p-adic group. We compare basic geometric properties of these generalized affine Springer fibers with their classical Lie algebra analogue. In particular, we will formulate a conjecture relating the number of irreducible components of such varieties to certain weight multiplicities defined by the Langlands dual group and discuss known cases of this conjecture.