Algebra, Geometry, and Combinatorics Seminar

Symplectic and Poisson geometry seminar

Event Type: Seminar/Symposium
Sponsor: Department of Mathematics
Location: Altgeld Hall 241
Date: Nov 4, 2024 3:00 pm
Speaker: Jonghyeon Ahn (UIUC)
Contact: Florian Zeiser
E-Mail: fzeiser@illinois.edu
Views: 32; Title : $S^1$-equivariant relative symplectic cohomology and relative symplectic capacities

Abstract : In this talk, I will introduce an $S^1$-equivariant version of the relative symplectic cohomology developed by Varolgunes. As an application, I will introduce a relative version of Gutt-Hutchings capacities and a relative version of symplectic (co)homology capacity. We will see that these relative symplectic capacities can detect the diplaceability and the heaviness of a compact subset of a symplectic manifold. We compare the first relative Gutt-Hutchings capacity and the relative symplectic (co)homology capacity and prove that they are equal to each other under a convexity assumption.