报告人：邓斌（武汉大学）

时 间：2026年10月16日10:00

地 点：海韵园实验楼S207

内容摘要:

The Nitsche problem is a classical problem in harmonic mapping theory concerning the existence of harmonic homeomorphisms between annuli and the optimal geometric conditions for such mappings. While the planar case is well understood, its higher-dimensional extension presents substantial new difficulties.In this talk, I will present sharp geometric bounds and rigidity results for harmonic homeomorphisms between concentric spherical annuli in higher dimensions. The results also extend to more general harmonic maps with nonzero topological degree. The main approach combines Poisson representations, topological information, and a new boundary coupling mechanism to reduce the problem to sharp integral estimates. Possible applications to other extremal problems for mappings between annuli will also be discussed. This is a joint work with Jiahuan Li, Yilu Liu and Xi-nan Ma.

个人简介：

邓斌，武汉大学数学与统计学院博士后，中国科学技术大学数学博士。主要从事偏微分方程与几何分析研究，研究方向包括调和映射、几何与泛函不等式的定量稳定性、共形曲率方程及相关爆破问题。研究成果发表于Duke Mathematical Journal、Advances in Mathematics、Calculus of Variations and Partial Differential Equations 等期刊。曾获第十八届钟家庆数学奖。

联系人：桂耀挺