报告题目： A class of generalized Frobenius manifolds and integrable systems

报告人：张友金教授，清华大学

报告时间：2024年4月22日（周一）上午8:30-9:30

报告地点：科技楼29-414

报告摘要：The notion of Frobenius manifolds was introduced by Boris Dubrovin in the early 1990s. It is a geometric characterization of the Witten-Dijkgraaf-Verlinde-Verlinde equations of associativity which arise in the study of 2d topological field theory, and 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 first recall the definition of Frobenius manifolds, their basic properties, and some well-known results on their relation with integrable evolutionary PDEs of KdV type, and then I will introduce some recent results on the relation of a class of generalized Frobenius manifolds with integrable systems.

报告人简介：张友金，清华大学教授。从事数学物理和可积系统理论等方面的研究，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一系列重要的工作。