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# Algebraic Hamiltonian actions.

Lundi, 26 Juin, 2006 - 12:30
Prénom de l'orateur :
Ivan
Nom de l'orateur :
LOSEV
Résumé :

This talk is devoted to Hamiltonian actions
of reductive groups on affine Poisson varieties. More
precisely, let $X$ be an affine Poisson variety
with a Hamiltonian action of a reductive group
$G$ and the moment map $mu:X ightarrow Lie(G)$.
We prove that, under some additional restrictions,
the corresponding morphism of quotients
$X//G ightarrow Lie(G)//G$ is equidimensional. Next,
we study the affine Stein factorization of this
morphism. Our results partially generalize those
of F. Knop.

Institution de l'orateur :
Université de Moscou
Thème de recherche :
Algèbre et géométries
Salle :
04