Shifted q=0 affine algebras
許佑鴻國家理論科學研究中心 NCTS 3:30 p.m. – 5:00 p.m. 鴻經館M107Abstract：
Categorification is the process
of finding hidden higher level structure. In this talk, I will introduce a new
class of algebra, which is called the shifted q=0 affine algebra. Our
motivation comes from the categorification of quantum groups and their actions
on categories. Then I will explain how the shifted q=0 affine algebra acts on
categories by using the language of Fourier-Mukai transformations. The kernels
are induced by natural correspondences on the bounded derived categories of
coherent sheaves on Grassmannians or partial flag varieties. Finally, if time
permits, I may discuss some further directions.