June 19 at 14:30 - 16:00, 2018 (JST)
Prof. Kenji Fukaya (Senior Visiting Scientist, iTHEMS / Permanent Member, Simons Center for Geometry and Physics, Stony Brook University, New York, USA)

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

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.