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Shifted symplectic structures and applications

Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces January 31, 2019 - February 08, 2019

February 07, 2019 (11:45 AM PST - 12:45 PM PST)
Speaker(s): Tony Pantev (University of Pennsylvania)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



I will give a brief overview of shifted symplectic and Poisson structures in derived geometry and their quantization. I will survey constructions of these structures on moduli stacks and will discuss several explicit examples. In the rest of the talk I will discuss interesting connections and applications to enumerative geometry, low dimensional topology, and Hodge theory. Time permitting, I will conclude with a sampling of recent results and developments including additivity theorems, connections with Bloch's conductor conjecture, and the Azumaya nature of shifted differential operators in positive characteristic.

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