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Integrable systems of A, D and B-type Dubrovin-Frobenius manifolds

组织者

尼古拉·莱舍提金 , 伊万·谢钦 , 安德烈·茨加诺夫

演讲者

Alexey Basalaev

时间

2023年11月07日 16:00 至 17:00

地点

A6-101

摘要

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.