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具有3个生成元的二步Carnot群的热核渐近性

2023.10.07

投稿:龚惠英部门:理学院浏览次数:

活动信息

报告题目 (Title):具有3个生成元的二步Carnot群的热核渐近性

报告人 (Speaker):李洪全 教授(复旦大学)

报告时间 (Time):2023年10月10日 (周二) 10:00

报告地点 (Place):校本部F309会议室

邀请人(Inviter):赵发友 教授

主办部门:理学院 数学系

报告摘要:The heat semi-group and its kernel play a crucial role in various areas of Mathematics. For instance, we can use its small-time asymptotic behaviors to study geometric properties of the underlying space, such as the squared distance, the cut locus, etc. In this talk, we consider uniform heat kernel asymptotics on a toy model: the free step-two Carnot group with 3 generator. The method also allow us to study the Riemannian heat kernel and geometric properties. The talk is based on a work with S.-C. Mao and Ye Zhang.