Type: Seminar

Modified: Mon 21 Nov 2016 1455

Distribution: World

Expiry: 7 Jan 2017

CalTitle1: Mishchenko-Fomenko algebras and nilpotent bicone

Auth: kevinc@pkevinc.pc (assumed)

Anne Moreau (Universite de Poitiers) Friday 25 November, 12-1pm, Place: Carslaw 375 Mishchenko-Fomenko algebras and nilpotent bicone Let g be a complex semisimple algebra. We consider the Mishchenko-Fomenko subalgebra at a regular element x. It is a maximal Poisson-commutative subalgebra of S(g), constructed by the so-called argument shift method. Moreover, it is a polynomial algebra. We show that the free generators of this algebra form a regular sequence. This generalizes a result of Ovsiensko (for sl_n and x semisimple regular). Our proof is related to geometrical properties of the nilpotent bicone. In this talk, I will explain this and discuss some open questions.