Dispersionless integrable hierarchies and Loewner type equations

Abstract: Dispersionless integrable hierarchies are obtained as certain limits of classical integrable hierarchies such as the KP hierarchy and the Toda lattice hierarchy. They were introduced in 1990's and studied first, for example, in relation to string theory. In this century it was found that dispersionless hierarchies are closely related to the theory of conformal mappings. I shall talk about the relation of dispersionless hierarchies and the Loewner equations for conformal mappings.

mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry

Audience: general audience

BIMSA Integrable Systems Seminar

Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.

Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.

The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.