北航“微分几何学术研讨会”

--微分几何讨论班（第5-7期）

我们将于2021年10月26日沙河校区主楼E402（改为线上）举办“微分几何学术研讨会”。

1. 周 斌（北京大学）9:00-9:50

2. 张永胜（同济大学）10:00-10:50

3. 熊金钢（北师大） 11:00-11:50

腾讯会议：914 775 991

1. 题目: The Green's function for equations with conic metrics

摘要：In this talk, we study the existence, uniqueness and properties of the Green function for the conic elliptic equation. We also prove the Poisson integral formula. As an application, we give a new proof of the regularity for conic Monge-Amp\`{e}re equations.

报告人简介：周斌，现为北京大学副教授、博士生导师，国家优青。主要研究方向为微分几何，在国际著名数学期刊Adv.Math., JFA., Peking Math. J.等杂志上发表论文20多篇。

2. 题目: Instability of Type (II) Lawson-Osserman Cones

摘要：We prove instability of Type (II) Lawson-Osserman cones in Euclidean spaces, and thus provide a family of (uncountably many) non-smooth unstable minimal graphs of high codimension versus smooth unstable ones by Lawson-Osserman using a min-max technique. To our knowledge, these are the first such examples of non-smooth unstable non-parametric minimal graphs in the Euclidean setting. This talk is based on a joint work with Prof. Zhaohu Nie.

报告人简介：张永胜，现为同济大学研究员、博士生导师，国家优青。主要研究方向为微分几何，在国际著名数学期刊JDG，Adv.Math., JMPA等杂志上发表论文10多篇。

3. 题目: Non-smoothness of viscosity solutions of k-Loewner–Nirenbeg problem in domains with nontrivial topology

摘要：I will talk about a recent joint work with Y.Y. Li and L. Nguyen, in which we prove that viscosity solutions of the k-Loewner–Nirenberg problem in n-dimensional

Euclidean domains whose boundary contains more than one connected components are not C^2 when $2 \le k \le n$.

报告人简介：熊金钢，现为北京师范大学教授、博士生导师，国家优青。主要研究方向为偏微分方程、几何分析和非线性分析，在国际著名数学期刊JEMS, AJM, Crelle, Math.Ann., Adv. Math. Peking Math. J.等杂志上发表论文30多篇。

会议组织者：张世金（shijinzhang@buaa.edu.cn)

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