In this talk we present recent developments and new results in the study of mean equicontinuity and weak mean equicontinuity in the context of countablediscrete amenable groups, such as a characterization in terms of spectral theory.It is known that the notions of mean eq. and weak mean eq. do not depend onthe process of averaging (the Følner sequence), whenever the action is minimal, orthe acting group is Abelian. However, we present an example of a (non-minimal,but transitive) action where mean equicontinuity and weak mean equicontinuity dodepend on the process of averaging. This observation leads to the new notionsof essential mean equicontinuity and essential weak mean equicontinuity, for whichwe present characterizations.
The talks take place on Tuesdays at 12:30 CET simultaneously in
- Kiel: Raum EG.029, Math. Seminar, Heinrich-Hecht-Platz 6
- Wuppertal: G15.25, Gaußstraße 20
- Tübingen: Raum C6P05, Auf der Morgenstelle 10
- zoom: please register to get the link