Transversal slices in quasi-Poisson manifolds

Abstract: Quasi-Poisson manifolds are multiplicative generalizations of ordinary Poisson manifolds in which the Jacobi identity is twisted by the action of a group. We study a class of transversal slices to this group action which are motivated by geometric representation theory. We show that these transversal slices can be thought of as Hamiltonian reductions of the ambient quasi-Poisson structure, and we use this to construct examples of old and new Poisson structures in representation theory. This is joint work with Maxence Mayrand.

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

Audience: researchers in the topic

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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