Reeb dynamics and pseudo-holomorphic curves
时间  Datetime
2023-02-09 14:30 — 16:30
地点  Venue
会议室(703)
报告人  Speaker
Pedro Antonio Santoro Salomao
单位  Affiliation
巴西圣保罗大学/上海纽约大学
邀请人  Host
李思然
备注  remarks
线上+线下报告
报告摘要  Abstract

At the beginning of the 20th century, H. Poincaré and G. D. Birkhoff gave profound contributions to the qualitative theory of dynamical systems motivated by their studies in Celestial Mechanics. Their fixed point theorem eventually inspired many conjectures on Hamiltonian dynamics, culminating in the development of new methods in Symplectic and Contact Topology. In this talk, I will revisit some classical results of Hamiltonian dynamics in light of these new methods, particularly using pseudo-holomorphic curves. I will discuss a generalization of the Poincaré-Birkhoff fixed point theorem for Reeb flows on the tight 3-sphere and also general results on the existence of global surfaces of section and transverse foliations.


(线上+线下报告；*Zoom Meeting ID: 919 637 6185; Passcode: 314159)
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