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Seminar Gæsteforelæsning

13.11.2023   kl. 15:00 - 16:00

QM Research Seminar: The generalized vanishing theorem for the derived blow-ups of quasi-smooth stacks

Speaker: Yu Zhao (IPMU)



Abstract:

In this talk we will briefly introduce a new strategy of introducing birtational geometry to the study of derived algebraic stacks. We will generalize a classical vanishing theorem to holomorphic Kuranishi spaces, i.e. quasi-smooth algebraic stacks. We will explain how this theorem recovers several classical results, including the virtual localization theorem, the semi-orthogonal decomposition of derived category of coherent sheaves and categorification of quantum loop groups.