Joint-spectrum, self-similar groups and Schreier graphs (Rostislav Grigorchuk (Texas A&M)

07.04.2020 16:30

We will explain how the idea of joint spectrum of a pencil of operators was used to study the spectral problem for graphs and groups. Self-similar groups will be defined and their role in mathematics will be outlined. A few results about joint spectra of operators associated with self-similar groups such as the "first" group of intermediate growth, the lamplighter group, and the Hanoi Towers groups on three pegs will be stated. Also it will be explained how renormalization is involved into the spectral problem.

Lieu

Join the Zoom session https://unige.zoom.us/j/696379617, Séminaire "Groupes et Géométrie", Att. heure inhabituelle

entrée libre