|Princeton/IAS Symplectic Geometry Seminar|
|Topic:||Length and width of Lagrangian cobordisms|
|Affiliation:||Haverford College; Member, School of Mathematics|
|Date:||Tuesday, October 11|
|Time/Room:||3:10pm - 4:10pm/S-101|
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.