Critical Points at Infinity and Conley Index Theory
偏微分方程专题报告
报告题目(Title)：Critical Points at Infinity and Conley Index Theory
报告人(Speaker)：Prof. Mohameden Ahmedou (Giessen University, German)
地点(Place)：后主楼1220
时间(Time)：2026年7月22日（周三）8:30-9:30
邀请人(Inviter)：唐仲伟
报告摘要
Non-compact variational problems arise in many areas of mathematics, ranging from celestial mechanics and conformal geometry to mathematical physics. In such problems, loss of compactness, blow-up phenomena, and escaping orbits make the search for critical points particularly difficult. In this talk, I will report on an ongoing project with Thomas Bartsch at Giessen University, whose aim is to develop a Morse theory framework capable of computing the topological jumps induced by non-compact ends of the gradient flow. In this framework, Conley index theory plays a crucial role in describing and computing the topology carried by critical points at infinity.
主讲人简介
Mohameden Ahmedou，现为德国吉森大学数学系教授，博士研究生导师，研究兴趣主要集中在 偏微分方程(PDEs)、非线性分析、变分法、微分几何和数学物理等领域。迄今在国际期刊 Duke Math J., JEMS, Ann. I. H. Poincaré-AN, IMRN, Ann. Sc. Norm. Super. Pisa Cl. Sci., J. Funct. Anal, Calc. Var. Partial Differential Equations, J. Differential Equations等发表论文40余篇。
