Topology Seminar: Baptiste Chantraine

The Fukaya category of a Weinstein manifolds W algebraically package all Lagrangian submanifolds of W into an A-infinity category. In this talk I will motivate why studying Lagragian submanifolds in symplectic manifolds is relevant and then I will give an overview of the definition of wrapped Fukaya categories. I will explain a theorem stating that for Weinstein manifolds a particular finite collection of Lagrangians generates this category. Finally we will see some element of the proof and applications of this generation criterion. This is joint work with G. Dimitroglou-Rizell, P. Ghiggini and R. Golovko.