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PIRSA:17010003

Video URL

https://pirsa.org/17010003

Convex Polytopes for the Central Degeneration of the Affine Grassmannian

Zhou, Q. (2017). Convex Polytopes for the Central Degeneration of the Affine Grassmannian. Perimeter Institute for Theoretical Physics. https://pirsa.org/17010003

Qiao Zhou

Talk numberPIRSA:17010003
DOI10.48660/17010003
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

The affine Grassmannian is the analog of the Grassmannian for the loop group. They are very important objects in mathematical physics and the Geometric Langlands program. In this talk, I will explain my recent work on the central degeneration of semi-infinite orbits, Iwahori orbits and Mirkovic-Vilonen cycles in the affine Grassmannian. I will also use lots of convex polytopes to illustrate my results. In addition, I will explain the connections between my work and other parts of geometric representation theory and combinatorial algebraic geometry.