MS Seminar (Mathematics - String Theory)

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.