Symplectic Barriers

Abstract: In his seminal 2001 paper, Biran introduced the concept of Lagrangian Barriers, a symplectic rigidity phenomenon coming from obligatory intersections with Lagrangian submanifolds which doesn't come from mere topology. Since then several other examples for Lagrangian barriers have been discovered. In this joint work with Richard Hind and Yaron Ostrover, we introduce the first example (as far as we know) of Symplectic Barriers, a symplectic rigidity coming from obligatory intersections of symplectic embeddings with symplectic submanifolds (and in particular not Lagrangian).

differential geometrydynamical systemsgeometric topologysymplectic geometryspectral theory

Audience: researchers in the topic

Geometry and Dynamics seminar

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