# Gradient invariants of aspherical manifolds with small amenable multiplicity

Posted in
Speaker:
Clara Löh
Affiliation:
University of Regensburg
Date:
Wed, 18/05/2022 - 11:00 - 12:00

Virtual talk.

If an oriented closed connected aspherical manifold admits an open amenable cover of small'' multiplicity, then the rank gradient, the $$\ell^2$$-Betti numbers and the torsion homology gradients of its fundamental group are all zero. This phenomenon admits a uniform proof via a dynamical version of simplicial volume. In this talk, I will survey this method as well as related results on 3-manifolds. This is based on joint work with Marco Moraschini and Roman Sauer.

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