报告题目：Gradient and Hessian estimates for logarithmic heat kernel on a general complete Riemannian manifold
报告人：吴波 副研究员
报告时间：2023年12月25日(星期一)10:00-11:00
报告地点：藕舫楼725
主持人：黄学平
报告摘要：
In this talk，we will introduce short time and asymptotic estimates without any curvature restrictions. Furthermore, we present a second order variation on stochastic differential equations, which together with the construction of a family of cut-off processes with locally uniform estimates and asymptotic comparison estimate, yield the results. The second order variation yields a probabilistic representation for the Hessian of the heat semigroup with adapted random fields, which is new even when the manifold is compact. This talk is based on a joint work with Xue-Mei Li and Xin Chen.
报告人简介：
吴波,，复旦大学副研究员、博士生导师，主要研究领域为流形上的随机分析，在Ann. Probab., Probab. Theory Related Fields, Trans. Amer. Math. Soc., J. Funct. Anal.等学术期刊发表论文二十余篇。
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