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Springer correspondence and semiorthogonal decompositions for reflection groups

SPEAKER: Alexander Polishchuk

TITLE: Springer correspondence and semiorthogonal decompositions for reflection groups

ABSTRACT: I will describe a current joint project with Michel Van den Bergh. The goal is to construct semiorthogonal decompositions of the derived categories of equivariant coherent sheaves associated with reflection groups, categorifying the known decompositions on the level of K-groups. For Weyl groups this can be done using the Springer correspondence.