broadcast in Room 515, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館515教室直播/收播)
Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations
Yuki Hirano (Kyoto University)
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 application, 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.
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