Equivariant tilting modules, Pfaffian varieties and noncommutative matrix factorizations
Speaker: Yuki Hirano (Kyoto University)

Time: 15h15, Friday, 19/11/20211

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Meeting ID: 896 0321 0669
Passcode: 340252

Abstract: It is known that a tilting bundle T on a smooth variety X induces a derived equivalence of coherent sheaves on X and finitely generated modules over the endomorphism algebra End(T). We prove that, in a suitable setting, a tilting bundle also induces an equivalence of derived matrix factorization categories. As an pplication, we show that the derived category of a noncommutative resolution of a linear section of a Pfaffian variety is equivalent to the derived matrix factorization category of a noncommutative gauged Landau-Ginzburg model.