Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Gromov compactness revisited
Speaker: Mohan Swaminathan, Princeton University
Date: February 1, 2021
Time: 18:00:00 Hours
Venue: via Zoom
Abstract: Gromov's compactness theorem for pseudoholomorphic curves is a fundamental result in almost-complex geometry which finds many applications in symplectic topology. The usual proofs of this theorem show sequential compactness of the relevant moduli space. I will sketch the proof of a quantitative version of this theorem, blackboxing some of the analytical estimates and focusing on the more combinatorial aspects of the proof. At the end, I will also outline an application (in progress) of this quantitative compactness theorem.
Title of Talk: Gromov compactness revisited
Speaker: Mohan Swaminathan, Princeton University
Date: February 1, 2021
Time: 18:00:00 Hours
Venue: via Zoom
Abstract: Gromov's compactness theorem for pseudoholomorphic curves is a fundamental result in almost-complex geometry which finds many applications in symplectic topology. The usual proofs of this theorem show sequential compactness of the relevant moduli space. I will sketch the proof of a quantitative version of this theorem, blackboxing some of the analytical estimates and focusing on the more combinatorial aspects of the proof. At the end, I will also outline an application (in progress) of this quantitative compactness theorem.