PIRSA:17010003 Scientific Series Mathematical physics

DOI10.48660/17010003

Series: Mathematical Physics

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}}
}

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.  

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