报告题目：Isolated singularity of the Yamabe equation 

报告人：熊金钢教授，北京师范大学

报告时间：2024年3月14日（周四）14:00-16:00

报告地点：腾讯会议：412-793-731（会议密码：0314）

报告摘要：In 1989, Caffarelli-Gidas-Spruck proved that solutions of the Yamabe equation near each isolated singular point must approach to a radial Fowler (or Delaunay) solution, when the background metric is conformally flat. An alternative proof and refinement of the asymptotics were provided by Korevaar-Mazzeo-Pacard-Schoen 1999. When the background metric is not conformally flat, Marques 2008 obtained the same conclusion in dimensions 3, 4, 5. In this talk, I will show our results in dimension 6, and in the case when background metric is asymptotically flat.

报告人简介：熊金钢，北京师范大学教授、博导。研究领域为非线性分析（变分法、椭圆与抛物型偏微分方程），解决Berryman和Holland 1980年提出的快速扩散方程正则性猜想，被菲尔茨奖得主论文评价称“ingenious”&“remarkable”；解决Monge-Ampère方程、Yamabe方程以及奇异调和映照中的若干长期未解的奇点结构问题；开启非局部Nirenberg问题等临界非线性问题的研究。迄今在国际期刊《Amer. J. Math.》, 《J. Eur. Math. Soc.》, 《J. Reine Angew. Math.》，《Proc. London Math. Soc.》等发表论文近 40 篇。

邀请人：徐甜