Tau functions and Plücker coordinates

Mattia Cafasso (Université d’Angers)

Tuesday 22nd January 16:00-17:00 Maths 311B

Abstract

The expansion of KP tau functions in Schur polynomials and Plücker coordinates, a finding due to Sato and dating back to the eighties, is one of the most celebrated results in the field of integrable systems. In this talk, following a recent joint work with P. Gavrylenko and O. Lisovyy, I will explain how the (recently found) expansion of tau functions for the sixth Painlevé equation in terms of conformal blocks has a similar interpretation as a sort of Plücker expansion related to two points in a infinite dimensional Grassmannian naturally associated to each solution of the equation.

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