Seminar on Integrable Systems

[Boris Dubrovin]

Dear All,

Seminar on Integrable Systems will take place

on Wednesday, July 12 at 14:30 - 16:00, room 136 of SISSA Main Building

Speaker: Dr. Daniele Valeri (Tsinghua University)

Title: Classical affine W-algebras associated to classical Lie algebras

Abstract: I will provide a description of the classical affine W-algebra W(g,f), where g is a classical Lie algebra and f is a nilpotent element of g, using the theory of generalized Adler type operators and of generalized quasideterminant. This allows to show that W(g,f) carries an integrable hierarchy of Lax type equations.
Moreover, I will show how to recover all KdV type hierarchies constructed by Drinfeld and Sokolov in this framework.

Everybody is welcome.

Boris Dubrovin