Room 515, Cosmology Building, NTU
(臺灣大學次震宇宙館 515研討室)
Exceptional Collections, t-structures and Categorical Action
You Hung Hsu (NCTS)
Abstract:
In this talk, I will explain how to use categorical action of the shifted
![](https://chart.googleapis.com/chart?cht=tx&chl=%24q%20%3D%200%24&chf=bg,s,333333&chco=ffffff)
affine algebra to construct (or induce) t-structures on the weight categories. In particular, when the categories are the bounded derived category of coherent sheaves on Grassmannians or partial ag varieties, the t-structure we obtain is precisely the exotic t-structure which defined by R. Bezrukavnikov associated to the exceptional collections that given by M. Kapranov. As a by-product, we calculate some of the generators of the shifted
![](https://chart.googleapis.com/chart?cht=tx&chl=%24q%20%3D%200%24&chf=bg,s,333333&chco=ffffff)
affine algebra act on the basis given by the exceptional collections.