On the adjoint action of symplectomorphism groups

Abstract: Motivated by constructions in Kähler geometry, in this talk we consider a compact symplectic manifold $(X,\omega)$ and the group $G$ of its symplectomorphisms. We study the action of $G$ on the Fréchet space $C^\infty(X)$ of smooth functions, by pullback, and describe properties of convex functions $p:C^\infty(X)\to\mathbb R$ that are invariant under this action.

differential geometrydynamical systemsgeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and Dynamics seminar

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