Algebra Seminar: Valeri -- Classical affine W-algebras for gl(N) and associated integrable hierarchies

Daniele Valeri (Yau Mathematical Sciences Center) 

Friday 6 May, 12-1pm, Place: Carslaw 375 

Classical affine W-algebras for gl(N) and associated integrable hierarchies 

I will describe a new method of integrability for Hamiltonian hierarchies of PDEs based
on the notion of an Adler type pseudodifferential operator and the theory of
quasideterminants.  I will then show how to use this method to construct an integrable
hierarchy associated to every classical affine W-algebra for gl(N).  

Joint work with A. De Sole and V. Kac.