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Taipei Postdoc Seminar
 
14:00 - 15:00, January 13, 2021 (Wednesday)
Lecture Hall 5F, Cosmology Building, NTU
(臺灣大學宇宙學大樓 五樓演講廳)
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 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 affine algebra act on the basis given by the exceptional collections.
 


 

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