Length and width of Lagrangian cobordisms

Princeton/IAS Symplectic Geometry Seminar
Topic:Length and width of Lagrangian cobordisms
Speaker:Joshua Sabloff
Affiliation:Haverford College; Member, School of Mathematics
Date:Tuesday, October 11
Time/Room:3:10pm - 4:10pm/S-101
Video Link:https://video.ias.edu/puias/2016/1011-JoshuaSabloff

In this talk, I will discuss two measurements of Lagrangian cobordisms between Legendrian submanifolds in symplectizations: their length and their relative Gromov width. The Gromov width, in particular, is a fundamental global invariant of symplectic manifolds, and a relative version of that width helps understand the geometry of Lagrangian submanifolds of a symplectic manifold. Lower bounds on both the length and the width may be produced by explicit constructions; this talk will concentrate on upper bounds that arise from a filtered version of Legendrian contact homology, a Floer-type invariant. This is joint work with Lisa Traynor.