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Categorical dimension in microlocal geometry of cotangent bundles

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Bingyu Zhang
University of Southern Denmark, Odense
Tue, 07/11/2023 - 13:30 - 14:30
MPIM Lecture Hall

We can define a Tamarkin category for an open set in a cotangent bundle using microlocal geometry of sheaves. Then it is known that the categorical dimension, which is also called the Chiu-Tamarkin invariant, of the Tamarkin category is a symplectic invariant of the open set. We will explain some geometric applications of the categorical dimension, including symplectic capacities and a Viterbo isomorphism. Part of the talk is based on a joint work with Christopher Kuo and Vivek Shende.

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