Baptiste Chantraine (Université de Nantes - UMI CNRS-CRM Montreal)

Title: Twisted complexes and Floer theory for Lagrangian cobordisms.

Abstract: In a recent work joint with G. Dimitroglou-Rizell, P. Ghiggini and R. Golovko we proved that the Lagrangian cocores generate the wrapped Fukaya category of a Weinstein manifold. The proof uses a result which allows to describe some twisted complexes in this category by geometrical objects. This result of independent interest uses a Floer theory for Lagrangian cobordisms that we have previously developed. In the talk I will explain this result, explain how it relates to some previous works of many other authors and describe how it is applied to prove our generation criterion.