京师数学前沿论坛 第二十九讲
京师数学前沿论坛
报告题目(Title)：A proof of Positive mass theorems up to dimension 19
报告人(Speaker)：史宇光 教授（北京大学）
地点(Place)：后主楼1124
时间(Time)：2026年4月29日（周三）16:00-17:00
报告摘要
In this talk, I will present a proof of Riemannian positive mass theorem up to dimension 19, building on a combination of toric symmetrization and the singularity blow-up technique developed in a joint work with S. He, and H.Yu, together with the generic regularity theory for area-minimizing hypersurfaces established in a work by O. Chodosh, C. Mantoulidis, F. Schulze, and Z. Wang. Similar ideas are also employed to investigate the Geroch conjecture up to dimension 12.
The talk is based on my recent joint work with Y. Bi, T. Hao , S. He and J. Zhu.
主讲人简介
史宇光，北京大学教授，现从事几何分析研究。曾入选国家级人才计划，2010年获得国际理论物理中心（ICTP）颁发的Ramanujan奖；2020年，获教育部自然科学奖一等奖。现任中国数学会第十四届副理事长兼秘书长
