19.10.21

Tatiana Nagnibeda (University of Geneva)

Title

Spectra and spectral measures on Cayley graphs of finitely generated groups and their actions.

Abstract

We will be interested in Laplacians on graphs associated with infinite finitely generated groups: Cayley graphs and more generally, Schreier graphs corresponding to some natural group actions. The spectrum of such an operator is a compact subset of the interval [0,1], but not much more can be said about it in general. Little is known about the associated spectral measures either. We will discuss various spectral problems arising in this context and stemming from the famous question “Can one hear the shape of a drum?”

Schedule

10:00 - 11:30 RTG Lecture 1 | Room 2.058

11:30 - 12:00 Get-Together with speaker | Room 2.058

12:00 - 13:00 Common lunch | Room 1.058

13:00 - 13:30 Informal meeting of PhD students | Room 2.058

13:45 - 14:45 RTG colloquium: Tatiana Nagnibeda | Room 1.067

14:45 - 15:30 Common tea | Room 1.058

15:30 - 17:00 RTG Lecture 2 | Room 1.067

KIT