Circle Action of Microlocal Kernels

Explore the intricacies of microlocal kernels and their circle action in this 56-minute lecture from the Western Hemisphere Virtual Symplectic Seminar. Delve into the sheaf theoretical proof of the contact non-squeezing theorem, focusing on the Z/ℓ-equivariant invariant constructed using microlocal kernels of balls, known as the Chiu-Tamarkin complex. Examine Chiu's numerical approach to approximating S^1 and its subsequent development into symplectic/contact capacities. Investigate the possibility of constructing an S^1 action directly and algebraically, utilizing the fundamental properties of microlocal kernels. Learn about the newly defined S^1-equivariant Chiu-Tamarkin complex and, time permitting, gain insights into related computational results. This advanced talk by Bingyu Zhang from the University of Southern Denmark offers a deep dive into cutting-edge research in symplectic geometry and microlocal analysis.