On Friday, 03/06/2019, 15:00 — 16:00, in Room P3.10 of Mathematics Building of the IST will take place a seminar by Richard Laugesen (University of Illinois at Urbana-Champaign,USA) with title
“Spectrum of the Robin-Laplacian: recent results, and open problems”.
I will discuss two recent theorems and one recent conjecture about maximizing or minimizing the first three eigenvalues of the Robin Laplacian of a simply connected planar domain. Conformal mappings and winding numbers play a key role in the geometric constructions. In physical terms, these eigenvalues represent decay rates for heat flow assuming a “partially insulating” boundary.
This is joint with Geometry Seminar.