1:30-2:00 Introductory talk
Title: Infinity harmonic functions
Abstract: Infinity harmonic functions are solutions of the infinity
Laplace equation, which arises in a simple limiting fashion. What is
interesting about these functions is that they can be characterized in a
multitude of other ways including as optimal Lipschitz extensions and as
solutions of random turn games. In this talk, we will give a brief overview
of their properties and indicate a few problems motivating current
research.
2:00-2:15 Coffee break
2:15-3:15 Seminar talk
Title: Infinity ground states
Abstract: We will present a natural eigenvalue problem associated with
the infinity Laplacian. Surprisingly, the main eigenvalue of interest has
a very convenient geometric characterization. However, the corresponding
eigenfunctions, are far from being well understood and are the subject of
this talk.