QM Research Seminar: Hochschild cohomology of Tamarkin category and symplectic cohomology

Speaker: Bingyu Zhang (Centre for Quantum Mathematics, SDU)


Abstract:

We can define a Tamarkin category for an open set in a cotangent bundle using the microlocal geometry of sheaves. Some computational evidence indicates that the so-called Chiu-Tamarkin invariant is deeply related to the Hochschild cohomology of the Tamarkin category and symplectic (co)homology. In this talk, we will explain the relation precisely: All of them are isomorphic in a suitable filtered sense. The talk is based on a joint work with Christopher Kuo and Vivek Shende.