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Functoriality of coherent-constructible correspondence

Yuze Sun

Peking University, Beijing

Abstract: In the context of homological mirror symmetry, the coherent-constructible correspondence (CCC) establishes a dictionary between the derived category of a toric variety and constructible sheaves, thus is a dictionary between algebraic and microlocal (reads as: symplectic geometry on a cotangent bundle) geometry.
We explore how algebraic geometric operations translate into microlocal ones. The talk will start from the basics of categorical knowledge, homological mirror symmetry and CCC. Then we will move to the functoriality of CCC, and possible extension to toric Artin stacks, based on Gaitsgory's (de-)equivariantization formalism.

The talk will be streamed through "Tencent": https://meeting.tencent.com/dm/UqFOv8ai0tSh.
meeting code: 486-939-892
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Language: English


© Steklov Math. Inst. of RAS, 2026