Differential Geometry Seminar | Infinitude of Hamiltonian periodic orbits and GLSM

Time：Tuesday, 21:00-22:00 May 14, 2024

Venue：Zoom Meeting ID: 271 534 5558 Passcode: YMSC

Organizer：Jialong Deng, Akito Futaki

Speaker：Shaoyun Bai Columbia University

Abstract：

Take an irrational rotation of the two-sphere; it only has the north and south poles as its periodic points. However, Franks proved that for any area-preserving diffeomorphism of the two-sphere, if it has more than two fixed points, then it must have infinitely many periodic points. I will discuss a generalization of this result with Guangbo Xu to all compact toric manifolds, for which the gauged linear sigma model (GLSM) plays a surprising role.

DATEMay 13, 2024

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