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Microlocal Sheaves of Spectra and Symplectic Applications

[HYBRID WORKSHOP] Connections Workshop: Floer Homotopy Theory September 08, 2022 - September 09, 2022

September 09, 2022 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Xin Jin (Boston College)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Microlocal Sheaves Of Spectra And Symplectic Applications

Abstract

In this talk, I will report recent results about quantizations of exact Lagrangians using microlocal sheaves of spectra, and some applications. These include a complete characterization of obstructions to quantizations which can be seen as an upgrade of the Maslov index to the higher topological levels, and an alternative proof of a result of Abouzaid--Kragh concerning compact exact smooth Lagrangians in cotangent bundles.

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Microlocal Sheaves Of Spectra And Symplectic Applications

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