SIMIS Seminar on Derived and Noncommutative Geometry: Rabinowitz Floer theory and formal neighborhoods

Speaker: Yuan Gao

Abstract: Rabinowitz Floer theory originates from the studies of dynamics on a contact-type hypersurface in an convex symplectic manifold, on which fruitful algebraic structures have been studied recently, which have intriguing relations to Fukaya categories and string topology. In this talk, I will discuss the theory for Liouville manifolds and generalizations to Liouville sectors, relate these Floer-theoretic invariants to certain categorical constructions originating from formal algebraic geometry, and address applications to understanding some structures from Floer theory using this algebraic machinery.

Time: 10:00 ~ 13:00, Friday, December 6, 2024

Location: Room 810, SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai