Volume in Seiberg-Witten theory and the existence of two Reeb orbits

Princeton/IAS Symplectic Geometry Seminar
Topic:Volume in Seiberg-Witten theory and the existence of two Reeb orbits
Speaker:Daniel Cristofaro-Gardiner
Affiliation:Member, School of Mathematics
Date:Friday, November 1
Time/Room:1:30pm - 2:30pm/S-101
Video Link:https://video.ias.edu/pisgs/2013/1101-DanielGardiner

I will discuss recent joint work with Vinicius Gripp and Michael Hutchings relating the volume of any contact three-manifold to the length of certain finite sets of Reeb orbits. I will also explain why this result implies that any closed contact three-manifold has at least two embedded Reeb orbits.