Mon, 02 Jun 2025
14:15
14:15
L5
Laplacian spectra of minimal submanifolds in the hyperbolic space
Gerasim Kokarev
(Leeds)
Abstract
I will describe an extremal problem for the fundamental tone of submanifolds in the hyperbolic space, and will show that singular minimal submanifolds occur as natural maximisers for it. I will also discuss a closely related rigidity phenomenon for the Laplacian spectra of minimal submanifolds.