|Augmentations and Legendrians at the IAS|
|Topic:||Restrictions on the fundamental group of some Lagrangian cobordisms|
|Affiliation:||Université de Nantes|
|Date:||Thursday, February 11|
|Time/Room:||10:40am - 11:40am/S-101|
In this talk we will describe two methods which shows that, under some rigidity assumptions on the involved Legendrian submanifolds, a Lagrangian cobordism is simply connected. The first one uses the functoriality of the fundamental class in Legendrian contact homology with twisted coefficients. The second uses an $L^2$-completion of the Floer complex associated to the cobordism. This is joint work with G. Dimitroglou Rizell, P. Ghiggini and R. Golovko.