报告人:马子璐 (Rutgers University)

报告时间: 7月17日(周一)15:00-16:00

报告地点:维格堂 319 

 要:Ricci flow is proved to be a powerful tool in the field of differential geometry. To obtain geometric or topological applications via continuing the Ricci flow by surgeries, it is of central importance to understand at least qualitatively the (finite-time) singularity models. In this talk, we present some recent developments mainly regarding the qualitative descriptions of the singularity models. We present two notions of blow-downs and their relations. We show an optimal scalar curvature estimate for singularity models. We then introduce some optimal qualitative and asymptotic descriptions for steady Ricci solitons, which are self-similar solutions of the Ricci flow and may arise as singularity models.   

报告人简介:马子璐,2022年从加州大学圣地亚哥分校取得数学博士学位,现于Rutgers University从事博士后研究。研究方向为几何分析,曾在J. Reine Angew. Math.、Adv. Math.、IMRN、Peking Math. J.等期刊发表多篇学术论文。 

邀请人:王