Tuesday Seminar on Topology

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Date, time & place Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya

2018/06/19

14:30-16:00   Room #056 (Graduate School of Math. Sci. Bldg.)
Kenji Fukaya (Simons center, SUNY)
Relative and equivariant Lagrangian Floer homology and Atiyah-Floer conjecture (JAPANESE)
[ Abstract ]
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 wich 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.