The HADES seminar on Tuesday, March 11th, will be at 3:30pm in Room 740.

Speaker: Hanna Kim

Abstract: We study problems involving the optimization of eigenvalues in various boundary conditions. The Steiner symmetrization was the important key to solving the classical isoperimetric inequality, where the solution is the ball.  Based on this problem, analogous problems were introduced in spectral problems with Dirichlet, Neumann and Robin boundaries and so on. I will discuss recent results on showing maximization of third Robin eigenvalue for negative parameters. This work is based on joint work with R. Laugesen.