报告题目：Sharp Fundamental Gap Estimate for Convex Domains in Gaussian Spaces

报告人：王奎副教授，苏州大学

报告时间：2025年12月4日（周四）15:00

报告地点：腾讯会议511-466-026

报告摘要：This paper proves a sharp lower bound for the fundamental gap—defined as the difference between the first two eigenvalues of the Ornstein-Uhlenbeck operator under Dirichlet boundary conditions—over convex domains in Gaussian spaces. Furthermore, we establish a closely related sharp super-log-concavity property for the corresponding Dirichlet heat kernels. This talk presents joint work with Jin Sun of Fudan University.

报告人简介：王奎，苏州大学副教授，主要研究方向为几何分析，特别是几何偏微分方程、几何不等式、特征值估计等方向，已在TAMS、IMRN、CVPDE、CAG、JGA、Math. Z.、Math. Res. Lett.等重要国际学术期刊上发表论文20余篇。

邀请人：任益斌