题目：The affine Toda system: Local mass and affine Weyl group

时间：2024年12月27日（周五）9:00-12:00

地点：数学与统计楼213会议室

报告人：杨文 研究员 中国科学院精密测量科学与技术创新研究院

摘要：

The local mass is a fundamental quantized information that characterizes the blow-up solution to the Toda system and has a profound relationship with its underlying algebraic structure. In a recent work we have observed that the associated Weyl group can be employed to represent this information for the Toda systems. The relationship between the local mass of blow-up solution and the corresponding affine Weyl group is further explored for some affine type Toda systems, where the possible local masses are explicitly expressed. In this talk I shall present a comprehensive study of the general affine type Toda system with arbitrary rank.

报告人简介：

杨文，中国科学院精密测量科学与技术创新研究院研究员，国家级青年人才。2015年获得加拿大英属哥伦比亚大学数学专业哲学博士学位。2015-2018年，先后在台湾大学理论科学研究中心以及香港理工大学从事博士后的研究工作。主要从事非线性椭圆型偏微分方程领域的研究，已在J.Diff.Geometry, Arch.Rat.Mech.Anal, Int.Math.Res.Not., J.Math.Pure.App, Analysis&PDE, Comm.PDEs, Calc.PDE等国际知名数学期刊上发表论文40余篇。