You-Hung Hsu
Published 2020-09-08Version 1
We introduce the shifted $q=0$ affine algebra. It is similar to the shifted quantum affine algebra defined by Finkelberg-Tsymbaliuk arXiv:1708.01795v6. We give a definition of its categorical action. Then we prove that there is a categorical action of the shifted $q=0$ affine algebra on the bounded derived categories of coherent sheaves on partial flag varieties. As an application, we use it to construct a categorical action of the $q=0$ affine Hecke algebra on the bounded derived category of coherent sheaves on the full flag variety.
Semiorthogonal decomposition via categorical action
Bounded t-structures on the bounded derived category of coherent sheaves over a weighted projective line
2-block Springer fibers: convolution algebras and coherent sheaves
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