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Seminar

07.11.2022   at 15:00 - 16:00

QM Research Seminar: Invariants from the microlocal kernel

Seminar by <b>Bingyu Zhang</b> (SDU, QM) <br><br><b> Abstract: </b> <br><br>To bounded open sets in a cotangent bundle, we can associate a pair of sheaves, the microlocal kernels, following the idea of Tamarkin and Chiu. Using microlocal kernels for the open set, we can define the Chiu-Tamarkin complex, which is a cohomology invariant associated with the open set. In this talk, I would like to explain the construction of these cohomology theories and some computations. Then I would like to explain how to construct a sequence of capacities based on the Chiu-Tamarkin complex.

Seminar by Bingyu Zhang (SDU, QM)

Abstract:

To bounded open sets in a cotangent bundle, we can associate a pair of sheaves, the microlocal kernels, following the idea of Tamarkin and Chiu. Using microlocal kernels for the open set, we can define the Chiu-Tamarkin complex, which is a cohomology invariant associated with the open set. In this talk, I would like to explain the construction of these cohomology theories and some computations. Then I would like to explain how to construct a sequence of capacities based on the Chiu-Tamarkin complex.
7 Nov