BIMSA > BIMSA Integrable Systems Seminar Integrable systems of A, D and B-type Dubrovin-Frobenius manifolds
Integrable systems of A, D and B-type Dubrovin-Frobenius manifolds
Organizers
Nicolai Reshetikhin , Ivan Sechin , Andrey Tsiganov
Speaker
Alexey Basalaev
Time
Tuesday, November 7, 2023 4:00 PM - 5:00 PM
Venue
A6-101
Abstract
Given a series of WDVV or open-WDVV equation solutions satisfying the certain stabilization conditions, one can construct an infinite system of commuting partial differential equations. We illustrate these fact on the examples of A and D type Dubrovin--Frobenius manifolds and their "open extensions". These give KP, a reduction of a 2-component BKP and 2D Toda hierarchies respectively. Following D.Zuo to a B_n type Coxeter group one can associate n different WDVV solutions that are not necessarily polynomial. We will prove that these Dubrovin--Frobenius structures stabilize too and present the integrable systems associated to them.