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Classical affine W-algebras associated to classical Lie algebras

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

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