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Relative shifted symplectic structures

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Tony Pantev
University of Pennsylvania
Wed, 2019-07-31 10:00 - 11:00
MPIM Lecture Hall

I will discuss the notion of relative shifted symplectic structures on sheaves of derived stacks over locally compact Hausdorff topological spaces. I will describe a general pushforward construction of relative symplectic forms and in the constructible case will
explain explicit techniques for computing such forms. As applications I will discuss a relative lift of recent results of Shende--Takeda on topological Fukaya categories, and a universal construction of symplectic structures on derived irregular character varieties. This is a joint work with Dima Arinkin and Bertrand Toen.

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