几何分析讨论班

报告题目：Analysis for geometric PDEs over non-collapsed degenerating Einstein manifolds

报  告  人： 朱苗苗 教授（上海交通大学）

时        间：2026年1月7日（星期三）, 下午16:00-17:00

地        点：海纳苑2幢102

摘        要：In this talk, we shall firstly give a brief discussion on the compactness of solution spaces of geometric PDEs over degenerating Riemann surfaces. Inspired by the 2D situations, we then explore and develop a scheme for investigating the compactness of solution spaces of geometric PDEs over 4-manifolds with varying geometric structures. We illustrate this scheme by applying it to some concrete problems, the

biharmonic map system, the Yang-Mills system and the nonlinear Dirac system over non-collapsed Einstein 4-manifolds with varying metrics.