报告人：洪寒(北京交通大学）

时间：2023年11月15日 10:00-

腾讯会议ID：621 998 208

摘要：In this talk, we are going to discuss the asymptotic Plateau problem. Firstly, we recall some classical results by Anderson and Guan-Spruck as well as some remaining open questions. The solution of APA is classically approximated by compact solutions with boundary sitting on horospheres when it is interpreted as solutions to a fully nonlinear PDE. Then we discuss new ideas to get solutions of APA approximated by the shape of cylindrical graphs whose boundaries rest upon equidistant hyperplanes. Through this procedure, we establish an alternative method for constructing solutions to the asymptotic Plateau problem. The resulting solution may differ from the classical ones, particularly in cases where uniqueness cannot be assured. This is a joint work with Haizhong Li and Meng Zhang.

简介：洪寒博士2021年博士毕业于加拿大英属哥伦比亚大学，师从陈竞一和Ailana Fraser教授。2021-2023年间在清华大学丘成桐数学科学中心做博士后，合作导师为吴云辉和李海中教授。现就职于北京交通大学太阳成集团tyc539。他的研究方向是微分几何与几何分析，主要集中在极小曲面，谱理论等研究。研究成果发表在Crelle, CVPDE, IMRN，JGA等杂志上。

邀请人：周恒宇

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