| Speaker: | You Hung Hsu (The National Center for Theoretical Sciences) |
|---|---|
| Title: | A categorical action of the shifted q=0 affine algebra |
| Date (JST): | Tue, Oct 26, 2021, 15:30 - 17:00 |
| Place: | Zoom |
| Related File: | 2730.pdf |
| Abstract: |
In this talk, we will introduce a new class of algebra, which is called the shifted q=0 affine algebra. It is similar to the shifted quantum affine algebra defined by Finkelberg-Tsymbaliuk. Our motivation comes from the categorification of quantum groups and their actions on categories. Then we will explain how the shifted q=0 affine algebra acts on the derived category of coherent sheaves on Grassmannians (partial flag varieties) using Fourier-Mukai transformations. Finally, we will discuss its applications to the construction of semi-orthogonal decompositions and Demazure operators. |
