The Weinstein conjecture, 44 years later

Abstract: The Weinstein conjecture (1979) concerns the existence of periodic orbits of Reeb vector fields. Over the years, the conjecture has undergone significant developments. In this talk, I will provide a historical overview of the Weinstein conjecture and discuss variations for singular contact manifolds. I will relate the singular Weinstein conjecture with the existence of escape orbits in celestial mechanics and fluid dynamics. Time permitting, I will conclude with a counterexample to the singular Weinstein conjecture.

This talk is based on joint works with Josep Fontana-McNally, Cédric Oms, and Daniel Peralta-Salas (some of them ongoing).

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

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CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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