Restrictions on the fundamental group of some Lagrangian cobordisms

Augmentations and Legendrians at the IAS
Topic:Restrictions on the fundamental group of some Lagrangian cobordisms
Speaker:Baptiste Chantraine
Affiliation:Université de Nantes
Date:Thursday, February 11
Time/Room:10:40am - 11:40am/S-101
Video Link:https://video.ias.edu/augmentslegends/2016/0211-Chantraine

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.