Towards Lax formulation of integrable hierarchies of topological type
Johnan van de Leur (Department of Mathematics, University of Utrecht)
Tuesday 8th November, 2011 15:00-16:00 Mathematics Building, room 516
The Givental group action on a product of several copies of KdV tau functions produces a new tau function that satisfies the Givental-Milanov Hirota Quadratic Equation. We calculate its Lie algebra action and thus obtain deformations of Lax and Sato-Wilson equations. In particular we show that this produces the KdV deformation formulas of Buryak, Posthuma and Shadrin in the Dubrovin-Zhang Hamiltonian approach. We see this as a first step towards a Lax formulation of integrable hierarchies of topological type. This talk is based on joined work with Guido Carlet, Hessel Posthuma and Sergey Shadrin.