Local to Global results in Floer theory from neck-stretchingMPIM

by Soham Chanda (University of Southern California/MPIM)

Monday Jun 23, 2025, 2:40 PM → 2:55 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPI Topology Seminar

Floer theoretic invariants have been a very powerful tool in symplectic geometry which involves `counting' pseudo-holomorphic curves. Obtaining local-to-global principles in Floer theory has remained quite hard because of dealing with moduli spaces of pseudoholomorphic curves. I will explain the heuristic of neck-stretching to obtain local-to-global results in Floer theory and review some recent successful applications of the heuristic.