代数值可积系统中的若干问题

本项目主要研究代数值可积系统、Frobenius流形及其联系和应用，具体来讲包括以下三个主要内容: . (1).代数值的可积系统，特别是Frobenius代数值的可积系统及其相关问题；. (2). (“等变”) Hurwitz空间上的Frobenius流形结构及其相关的可积系统； . (3). 探讨Frobenius代数值的可积系统和Frobenius流形之间的联系。

In this project, we will study algebra-valued integrable systems and Frobenius manifolds. More precisely, it will include three parts: (1).algebra-valued integrable systems, especially Frobenius algebra-valued integrable systems and its related problems; (2).Frobenius manifold strctures on certain "equivaraint" Hurwitz space and the related integrable systems； (3).Relation between Frobenius algebra-valued integrable systems and Frobenius manifolds.