报告题目：Local estimates on the higher temporal derivatives of the Ricci flow and unique continuation

报告人：Brett L. Kotschwar，亚利桑那州立大学

报告时间：2026年6月12日（周五）16:00-18:00

报告地点：20-200

报告摘要：We will discuss the problem of unique continuation for general complete Ricci flows and establish local estimates on the spatio-temporal derivatives of general smooth Ricci flows which interpolate between two existing sets of bounds: one a set of local estimates which imply the instantaneous local real-analyticity of the solution, and the other a set of global estimates on complete solutions of bounded curvature which imply the instantaneous temporal analyticity (and full space-time analyticity) of the solution. The coefficients of these bounds are sharp in the orders of the derivatives, and imply that the solution is of second Gevrey class in the temporal variables. When the solution is complete and of bounded curvature, the estimates recover in the limit global spatio-temporal bounds which imply the instantaneous space-time analyticity of the solution.

报告人简介：Brett L. Kotschwar，主攻微分几何、偏微分方程与几何分析，2007年获加州大学圣地亚哥分校数学博士学位。先后任MIT讲师、德国马普所研究员，2011年入职亚利桑那州立大学，现任该校副教授，后续拟升任正教授。主持多项NSF、西蒙斯基金，出版专著1部，发表数十篇高水平期刊论文；承担硕博研究生指导及多门本硕数学课程教学工作，兼任院系多项行政与学术会务工作，同时担任多家权威数学期刊审稿人。

邀请人：倪磊