Relative and equivariant Lagrangian Floer homology and Atiyah-Floer conjecture

Seminar Supported by iTHEMS
Photo of Kenji Fukaya Kenji Fukaya
Date
June 19 (Tue) at 14:30 - 16:00, 2018 (JST)
Speaker
  • Kenji Fukaya (Senior Visiting Scientist, iTHEMS / Permanent Member, Simons Center for Geometry and Physics, Stony Brook University, New York, USA)
Venue
Language
Japanese

Atiyah-Floer conjecture concerns a relationship between Floer homology in Gauge theory and Lagrangian Floer homology. One of its difficulty is that the symplectic manifold on which we consider Lagrangian Floer homology is in general singular. In this talk I will explain that, by using relative and equivariant version of Lagrangian Floer homology, we can resolve this problem and can at least state the conjecture as rigorous mathematical conjecture.

Supported by RIKEN iTHEMS and Tuesday Seminar on Topology (Graduate School of Mathematical Sciences, The University of Tokyo).