4–8 juil. 2022
Institut Henri Poincaré
Fuseau horaire Europe/Paris

A h-principle for conformal symplectic structures

4 juil. 2022, 11:00
1h
Amphithéâtre Hermite (Institut Henri Poincaré)

Amphithéâtre Hermite

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Orateur

Mélanie Bertelson (Université Libre de Bruxelles)

Description

Any non-degenerate $2$-form can be homotoped to a locally conformal symplectic structure whose Lee form can be chosen to be any non-vanishing closed $1$-form. Each component of the boundary can be chosen to be concave or convex and to inherit a given overtwisted contact structure. On the other hand, for codimension one foliations, a leafwise conformal symplectic structure whose Lee form coincides with the holonomy $1$-form yields a contact structure. Unfortunately, the h-principle described above does not admit a foliated version unless the ambient manifold has a non-empty boundary. This is a joint work with Gaël Meigniez.

Documents de présentation

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