Talk by Rami Atar (Technion, Israel, visiting University of Washington)

Date and Time: Thursday, May 25, 11:00 AM in AP&M 5829.

Title: On the second Neumann eigenvalue

Abstract: I will review results and open problems regarding simplicity of the lowest nonzero Neumann Laplacian eigenvalue on domains, and properties of the corresponding eigenfunctions related to the hot spots conjecture. I'll present a new simplicity result for a family of smooth planar domains, that is based on analysis of mirror couplings. Joint work with K. Burdzy.