Research Group:
Speaker:
Dr. Daniele Valeri
Institution:
Tsinghua University
Schedule:
Wednesday, July 12, 2017 - 14:30
Location:
A-136
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.