University of Sydney Algebra Seminar

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.