Hecke Correspondences on smooth surfaces and categorical commutators

Abstract: Given a complex smooth surface, Negut constructed an action of the quantum toroidal algebra on the Grothendieck group of moduli space of stable sheaves, which generalized the construction of Nakajima, Grojnowski, Baranovsky in cohomology. In this talk, we will obtain a weak categorification of Negut's action, by constructing explicit natural transformations and compute the categorical commutators of the positive and negative part.

algebraic geometryrepresentation theory

Audience: researchers in the topic

Algebra and Geometry Seminar @ HKUST

Series comments: Algebra and Geometry seminar at the Hong Kong University of Science and Technology (HKUST).

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