【学术报告】Various types of spectra and spectral measures on Cayley graphs of finitely generated groups and their actions.

• 主讲人： Tatiana Nagnibeda (University of Geneva)
• 时间：周四21:00-22:00，2021-03-11
• 地点：online

Beijing-Saint Petersburg Mathematics Colloquium (online)

摘要（Abstract）

We will be interested in the Laplacian 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 closed interval [0,2], 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?”