Speaker：Kui Wang (Suzhou University)

Time：2026-1-15 16:30

Location：Conference Room S105 at Experiment Building at Haiyun Campus

Abstract:

We will talk about 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 is based on a joint work with Jin Sun of Fudan University.