Decompositions of Lagrangian Cobordisms

Abstract: Consider a symplectic manifold X, and its product with the complex plane X x C. A Lagrangian cobordism is a Lagrangian submanifold in X x C whose noncompact ends suitably limit to Lagrangian submanifolds of X. In this talk, we'll discuss how every Lagrangian submanifold can be decomposed into some simple pieces - surgery traces and suspensions of exact homotopy. Furthermore, we'll speculate about the connection between these decompositions and the work of Biran and Cornea relating Lagrangian cobordisms to equivalences of Lagrangian Floer cohomology.

differential geometrydynamical systemsgeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and Dynamics seminar

Series comments: On the week of the seminar, an announcement with the Zoom link is mailed to the seminar mailing list. To receive these e-mails, please sign up by writing to Lev Buhovsky (http://www.math.tau.ac.il/~levbuh/).