Stability and isotopy of symplectomorphism groups of ruled surfaces

Jun Li (University of Michigan-Ann Arbor)

29-Mar-2022, 15:00-16:00 (2 years ago)

Abstract: The symplectomorphism groups $Symp(M, \omega)$ of ruled surfaces have been started by Gromov, McDuff, and Abreu, etc, using J-holomorphic techniques. For rational ruled surfaces, the topological structure of $Symp(M, \omega)$ is better understood, while for irrational cases our only knowledge is for minimal ruled surfaces. In this talk, we apply the J-inflation techniques of Anjos-Li-Li-Pinsonnault to irrational non-minimal ruled surfaces and prove a stability result for $Symp(M, \omega)$. As an application, we find symplectic mapping classes that are smoothly but not symplectically isotopic to identity. The talk is based on joint works with Olguta Buse.

algebraic geometrydifferential geometrysymplectic geometry

Audience: researchers in the topic


Geometria em Lisboa (IST)

Series comments: To receive the series announcements, which include the
Zoom access password*, please register in
math.tecnico.ulisboa.pt/seminars/geolis/index.php?action=subscribe#subscribe
*the last announcement for a seminar is sent 2 hours before the seminar.

Geometria em Lisboa video channel: educast.fccn.pt/vod/channels/bu46oyq74

Organizers: Jose Mourao*, Rosa Sena Dias, Sílvia Anjos*
*contact for this listing

Export talk to