题目：Fundamental Gap of Convex Domains. in Space Forms and Surface

报告人：韦国芳 教授 （University of California, Santa Barbara）

地点：逸夫楼213室

时间：2024年7月4日 星期四 14:00-14:50

Abstract: The fundamental (or mass) gap refers to the difference between the first two eigenvalues of the Laplacian or more generally for Schrödinger operators.It

is a very interesting quantity both in mathematics and physics as the eigenvalues are possible allowed energy values in quantum physics. We will review many recent fantastic results for convex domains in ℝ𝒏,𝕊𝒏,ℍ𝒏 with Dirichlet boundary conditions, starting with the breakthrough of Andrews-Clutterbuck. Then we will present a very recent estimate for the convex domain in surfaces with positive curvature. The last result is joint with G. Khan, H. Nguyen, M. Tuerkoen.

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