Seminar talk | Institute of Mathematical Sciences
Time：10:30-11:30, Oct. 19, Wednesday
Location：Room 302, Library
Speaker: Noémie Legout, IMS, ShanghaiTech University
Abstract: In 2015, Chantraine, Dimitroglou-Rizell, Ghiggini and Golovko have defined a Floer complex associated to a certain type of Lagrangian submanifolds in a symplectic manifold. More precisely, these Lagrangians are exact and non compact, and have cylindrical Legendrian ends. I this talk, I will recall the definition of these terms and this complex, and explain how to construct a product structure on it. This product recovers the cup product on singular cohomology when the Lagrangian submanifold we look at is a Lagrangian filling of a Legendrian submanifold.