报告题目：Heat kernel asymptotics on the free step-two Carnot group with 3 generators
报 告 人：李洪全 教授（复旦大学）
报告时间：2023年8月27日10:00-11:00
报告地点：海山楼 A1101
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. At least in principal, we provide a powerful method in the setting of step-two Carnot groups. 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.
报告人简介：李洪全，法国巴黎第十一大学博士，复旦大学必赢3003am教授、博士生导师，国家杰出青年基金获得者，上海市东方学者特聘教授。主要从事流行上的调和分析研究。在Riesz变换，极大函数、热核及热半群梯度估计等课题得到了一些非常有意义的工作。主要结果发表在J. Reine Angew. Math.、 Trans. Amer. Math. Soc.、J. Math. Pures Appl.、Math. Z.、Math. Ann.、 J. Funct. Anal.、 Comm. Partial Differential Equations等重要学术期刊。
