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D-modules in birational geometry

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Mihnea Popa
Northwestern University
Mit, 04/07/2018 - 16:30 - 18:00
MPIM Lecture Hall

I will give an overview of techniques based on the theory of mixed Hodge modules, which lead to a number of applications of a rather elementary nature in birational and complex geometry. The key point I will emphasize is the use of vanishing and positivity theorems in the context of filtered D-modules of Hodge theoretic origin.



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