Last Update 2022/08/02
My research interest is the cohomological Hall algebra and its variants, and the categorical representation theory.
Currently I am working on constructing categorical algebraic action on the derived category of certain moduli spaces. For example, Schiffmann-Vasserot, Feigin-Tsymbaliuk and Negut studied the quantum toroidal algebra action on the Grothendieck group of Hilbert schemes of points on surfaces, which generalized the cohomology action by Nakajima and Grojnowski. I constructed a weak categorication for this action.
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