香蕉视频

Title: Zeros of sums of eigenfunctions

Abstract: A guiding principle in the study of eigenfunctions of the Laplace-Beltrami operator is that their properties should resemble those of polynomials. In this light, I will discuss oscillations and zeros for linear combinations of Laplace eigenfunctions on Riemannian manifolds. In particular, I will prove that zeros become dense in the manifold if not too many eigenfunctions are summed. The talk will also feature some open questions on eigenfunctions sums.

Zoom link:

Meeting ID: 817 0613 6500

Passcode: 872949