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Mathematics Colloquium


Date:  Tuesday, September 27, 2016

Title:  Microlocal methods in symplectic geometry.

Abstract:  I will outline how one starts with a symplectic manifold and defines a category enriched in local systems (up to homotopy) on this manifold. The construction relies on deformation quantization and is related to other methods of constructing a category from a symplectic manifolds, such as the Fukaya category and the sheaf-theoretical microlocal category of Tamarkin. The talk will be accessible, with main examples being the plane, the cylinder, and the two-torus.

Speaker:  Boris L Tsygan
Institution:  Northwestern University


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