广州数学大讲坛第六期

第五十三讲——四川大学余佳洋教授学术报告

题目：Measures on General Co-dimensional Surfaces in Infinite Dimensions and Stokes Type Theorems

时间：2025年10月10日（星期五）上午9:00-10:00

地点：腾讯会议（会议ID:520-765-984，会议密码：251010）

报告人：余佳洋 教授

摘要：In this talk, we construct explicitly measures on general co-dimensional surfaces in $\ell^2$ which is, in some sense, the simplest infinite-dimensional space, closest to Euclidean spaces, but the construction of related surface measures is a longstanding unsolved problem. Our surface measures are naturally induced from the usual Gaussian measures on $\ell^2$, based on which we introduce the notion of differential forms and establish the corresponding Stokes type theorems;

报告人简介：

余佳洋，四川大学教授，研究领域为无限维分析，曾在J. Math. Pures Appl., Trans. Amer. Math和Sci. China Math.等杂志发表论文。