Mishchenko-Fomenko algebras, regular sequences and Poisson vertex algebras (Anne Moreau, University of Lille)

13.10.2017 15:00 – 17:00

The Mishchenko-Fomenko subalgebra, constructed by the so-called argument shift method, of a simple Lie algebra at a regular element is known to be a maximal Poisson commutative subalgebra of the symmetric algebra. Moreover, it is a polynomial algebra.

Recently, I showed that the free generators of this algebra form a regular sequence, which generalizes a result of Serge Ovsienko for sl(n).

I will also discuss open problems, raised by works of Arakawa-Premet, in the case of Mishchenko-Fomenko subalgebras associated with centralizers of nilpotent elements, and explain connexions with my recent works with Tomoyuki Arakawa on coisson cores in Poisson vertex algebras, and quantizations of the arc spaces of Slodowy slices.

Lieu

Bâtiment: Battelle

Séminaire "Groupes de Lie et espaces des modules"

Organisé par

Section de mathématiques

Intervenants

Anne Moreau, University of Lille

entrée libre

Classement

Catégorie: Séminaire