Speaker: Alexey Basalaev (HSE, Skoltech)

Date and time:  15.02.2023, 17:00 (GMT +03:00)

Title: Integrable systems associated to infinite families of Dubrovin-Frobenius manifolds

Abstract: It was an idea of B.Dubrovin to study integrable systems using the theory of Dubrovin-Frobenius manifold. Currently there are two constructions allowing one to associate an integrable system to a Dubrovin-Frobenius manifold - DZ and DR hierarchies. Both constructions are rather complicated and not easy to compute. With both constructions one gets Gelfand-Dikij hierarchy starting from a type A Dubrovin-Frobenius manifold. In this talk we will present another construction that is not as general as DR and DZ. constructions but really easy to compute. We will show that our construction produces KP hierarchy from type A Dubrovin-Frobenius manifolds and discuss the cases of type D Dubrovin-Frobenius manifolds and open extensions coming from the open Gromov-Witten theories.

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com