Symplectic homology for cobordisms

Princeton/IAS Symplectic Geometry Seminar
Topic:Symplectic homology for cobordisms
Speaker:Alexandru Oancea
Affiliation:Université Pierre et Marie Curie; Member, School of Mathematics
Date:Thursday, February 23
Time/Room:10:45am - 11:45am/S-101
Video Link:https://video.ias.edu/puias/2017/0223-AlexandruOancea

Symplectic homology for a Liouville cobordism (possibly filled at the negative end) generalizes simultaneously the symplectic homology of Liouville domains and the Rabinowitz-Floer homology of their boundaries. I intend to explain a conceptual framework within which one can understand it, and give a sample application which shows how it can be used in order to obstruct cobordisms between contact manifolds. Based on joint work with Kai Cieliebak and Peter Albers.