Olivetti Club

Pak Hin LiCornell University
Affine Grassmannian and its relation to representation theory

Tuesday, November 28, 2017 - 4:30pm
Malott 406

Affine Grassmannian of an algebraic group G is a colimit of finite-dimensional schemes and in type A, there is a lattice model for it and points inside affine Grassmannian can be viewed as subspaces inside certain infinite dimensional space, satisfying some conditions. Through geometric Satake correspondence, the intersection cohomology of certain variety is isomorphic to certain irreducible representation of the Langaland dual group of G. By Mirkovic-Vilonen, there is a collection of subvarieties (called MV cycles) whose cohomology classes give us a natural basis of irreducible representations. In this talk, I talk about what they are and some applications of them in representation theory.

Refreshments will be served in the lounge at 4:00 PM.