北航数学论坛

Frobenius manifolds and bihamiltonian integrable hierarchies

张友金 教授

清华大学

报告时间：2026年5月8日（星期五）下午14：00--16：00

报告地点：沙河主楼E802

报告摘要：

The notion of Frobenius manifolds was introduced by Boris Dubrovin in the early 1990s. It has played important roles in the study of Gromov-Witten theory, singularity theory, integrable systems and some other research fields of mathematical physics. In this talk, I will recall the definition and basic properties of Frobenius manifolds, explain how to associate a semisimple Frobenius manifold with a hierarchy of integrable evolutionary PDEs, and review some recent progresses in the study of properties of such integrable hierarchies, including their bihamiltonian structures and Virasoro symmetries.

报告人简介：

张友金，清华大学数学科学系教授。主要从事数学物理和可积系统理论的研究，与合作者一起在非线性可积系统理论、Frobenius流形理论及其在Gromov-Witten不变量理论中的应用等方面作出了重要的工作。获批国家级人才，2018年获得教育部自然科学奖一等奖。

邀请人： 王振