丘成桐中心几何与方程组周末讨论班
SEU Yau Center Geometry and PDE Weekend Seminar
为活跃中心学术氛围，促进成员间的学术交流并激发合作，丘成桐中心几何与方程组将从2022年9月末开始定期组织周末讨论班。周末研讨班将面向几何与方程组和全体中心成员、数学学院研究生及感兴趣的校内外师生。
2022年11月19日，几何与方程组第六次周末讨论班将由南京审计大学邓海云博士主讲，报告信息如下。
Title: Some geometric properties of solutions to elliptic equations
Speaker: Haiyun Deng（邓海云）
Affiliation：Nanjing Audit University （南京审计大学）
Time: 10:00-11:00, November 19th (Sat.), 2022 (GMT+8)
Venue: 腾讯会议/VooV Meeting (ID: 666-126-486)
Abstract:
The study of critical set of solutions to partial differential equations involves many fields in mathematics and engineering technology, including partial differential equation theory, geometric measure theory, geometric analysis, image processing and so on. The study of geometric structure and measure estimation of the critical set is an important research content of the solutions of partial differential equations, and it is also one of the hot and difficult problems in the field of partial differential equations. They are not only important geometric properties of solutions, but also related to the asymptotic behavior and growth of solutions. They are one of the important tools to study some profound properties of solutions of partial differential equations. In this report, firstly we will introduce the research background and progress of critical set of solutions to elliptic equations. Moreover, we will introduce our recent works.
Speaker:
邓海云，于2020年1月获南京理工大学理学博士学位，2018年9月至2019年9月间美国罗格斯(Rutgers)大学博士联培，现为南京审计大学应用数学系讲师，南京审计大学润泽学者。研究方向：Geometric distribution and measure estimation of critical set for solutions to elliptic Equations, Serrin’s overdetermined Problem, Alexandrov’s soap bubble Theorem, Matzoh ball soup etc.现主持国家自然科学基金青年项目一项，在Israel J. Math., J. Differential Equations, Ann. Mat. Pura Appl. 等SCI期刊发表论文多篇。