PIRSA: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. https://pirsa.org/17010003

Zhou, Qiao. Convex Polytopes for the Central Degeneration of the Affine Grassmannian. Perimeter Institute, Jan. 09, 2017, https://pirsa.org/17010003 

          @misc{ pirsa_PIRSA:17010003,
            doi = {10.48660/17010003},
            url = {https://pirsa.org/17010003},
            author = {Zhou, Qiao},
            keywords = {Mathematical physics},
            language = {en},
            title = {Convex Polytopes for the Central Degeneration of the Affine Grassmannian},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {jan},
            note = {PIRSA:17010003 see, \url{https://pirsa.org}}
          }

Qiao Zhou Protiviti Inc

DOI 10.48660/17010003
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.