【几何分析讨论班】Analysis for geometric PDEs over non-collapsed degenerating Einstein manifolds

Speaker： 朱苗苗 教授（上海交通大学）

Time：2026年1月7日（星期三）, 下午16:00-17:00

Place：海纳苑2幢102

Abstract：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.