Rabinowitz Floer theory from a non-commutative viewpoint

Tsinghua-BIMSA symplectic geometry seminar

Organizer：

Kenji Fukaya(Tsinghua), Honghao Gao(Tsinghua), Hang Yuan(BIMSA)

Speaker：

高原（南京大学）

Time：

Thursday, 16:30-17:30

Dec. 18, 2025

Venue：

B725, Shuangqing Complex Building

Title：

Rabinowitz Floer theory from a non-commutative viewpoint

Abstract:

Rabinowitz Floer theory is specially designed to study dynamics on contact hypersurfaces, and turns out to have various applications in rigidity, embeddings, leafwise intersections and spectral invariants. Being almost never proper over the base ring, Rabinowitz Floer (co)homology is equipped with fruitful algebraic structures whose study turns out to be quite nontrivial. A natural question in this direction is to what extend the algebraic operations on symplectic cohomology can govern those on Rabinowitz Floer cohomology. In this talk, we will briefly recall the setup of the theory, and discuss approaches from the perspective of the open-string categorical counterpart to determining and extending its algebraic structures.