(2023-11-21) 几何与方程讨论班: Guohuan Qiu(邱国寰)-- Interior estimate for scalar curvature equation in Dimension 3

发布者:杨璐发布时间:2023-11-20浏览次数:10


丘成桐中心几何与方程组讨论班

SEU Yau Center Geometry and PDE Seminar

 

Title: Interior estimate for scalar curvature equation in Dimension 3

Speaker: Assoc. Prof. Guohuan Qiu邱国寰

AffiliationAcademy of Mathematics and Systems Science, Chinese Academy of Sciences 中国科学院数学与系统科学研究院

Time: 10:00-11:00, November 21st (Tues.), 2023 (GMT+8)

Venue: Room 1502, Shing-Tung Yau Center, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing

          (东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室)

InviterFeida Jiang(蒋飞达)


 

Abstract: 

We prove a priori interior curvature estimates for hypersurfaces of prescribing scalar curvature equations in dimension three. The new observation here is that the Lagrangian submanifold constructed similarly as Harvey and Lawson has bounded mean curvature if the graph function of a hypersurface satisfies the scalar curvature equation.

 

Speaker:

邱国寰博士,现任中国科学院数学与系统科学研究院副研究员2009年毕业于西北大学,2016年于中科大获博士学位。先后在麦吉尔大学做博士后和香港中文大学任研究助理教授。2021年入职中科院数学所。2019年获得中国数学会钟家庆奖。主要研究方向为偏微分方程和几何分析。其研究成果接收和发表在Amer. J. MathComm. Math.Phys., Duke Math J., IMRN等国际一流数学学术期刊上。


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