Vanishing of logarithmic torsion homology growth via dynamics

Clara Löh (U Regensburg)

Jul 20. 2023, 10:00 — 10:45

The logarithmic torsion homology growth of a group is the limit superior of the logarithm of the size of the homology torsion of finite index subgroups, normalised by the index. This invariant encodes geometric, dynamical, and number-theoretic aspects of groups (and spaces). In general, exact computations tend to be difficult and despite of recent progress in  various directions many fundamental questions are wide open.

In this talk, I will outline techniques to show vanishing results for logarithmic torsion homology growth based on measured group theory; in particular, I will illustrate these techniques in the well-understood case of amenable groups.

Further Information
ESI Schrödinger and Boltzmann Lecture Hall
Associated Event:
Geometric and Asymptotic Group Theory with Applications 2023 - Groups and Dynamics (Workshop)
Christopher Cashen (U of Vienna)
Javier de la Nuez González (KIAS, Seoul)
Alexandra Edletzberger (U of Vienna)
Yash Lodha (U of Hawaii, Honolulu)