基础数学系学术报告

--微分几何讨论班（2023年第1讲）

题目：Fill-ins with scalar curvature bounded from below

报告人：王文龙 副教授（南开大学）

时间：2023年6月16日 下午3:00-4:00

地点：沙河校区E602

摘要：Given a triple of Bartnik data and a constant, Gromov asked under what conditions, does/doesn’t the Bartnik data admit a fill-in with scalar curvature bounded from below by the given constant. Philosophically, sufficiently large (in either pointwise or integral sense) mean curvature rules out such fill-ins. I will talk about some known and new results in this direction. This is mainly based on joint work with Wei Guodong at Sun Yat-Sen University (Zhuhai).

报告人简介：王文龙, 2017 年博士毕业于北京大学, 现为南开大学副教授. 研究方向是几何分析, 已经在 J. Reine Angew. Math., Math. Ann., Int. Math. Res. Not.等国家著名数学期刊上发表多篇论文。

邀请人：张世金