报告学者：张雷

报告者单位：佛罗里达大学

报告时间：2025年6月25日下午4:00—5:00

报告地点：七教7215

报告摘要：A Liouville system is a set of elliptic equations with exponential nonlinear terms and a non-negative coefficient matrix. Liouville systems are well known for their generality and their striking structure of solutions. In this talk I will survey some results about blowup solutions to Liouville systems defined on Riemann Surfaces. I will talk about how local analysis on the profile of blowup solutions can be linked to the topology of the manifold and how to construct blowup solutions on a general Riemann surface.

报告学者简介：张雷，2001年毕业于Rutgers大学并获博士学位，现为佛罗里达大学教授，博士生导师，主持Simons Foundation Collaboration Grant等多项基金，曾获得University of Florida Term Professorship等荣誉。张雷教授的研究方向是：非线性偏微分方程，几何分析等。在 Amer. J. Math.，Adv. Math.，Comm. Pure Appl. Math.，J. Funct. Anal.，Comm. Math. Phys.，J. Eur. Math. Soc.，Calc. Var. Partial Differential Equations，Proc. London Math. Soc.，Analysis & PDE等国际著名期刊上发表学术论文60余篇。