Geometric semi-norms in homology

Abstract: The simplicial volume of a simplicial complex is a topological invariant related to the growth of the fundamental group, which gives rise to a semi-norm in homology. In this talk, we introduce the volume entropy semi-norm, which is also related to the growth of the fundamental group of simplicial complexes and shares functorial properties with the simplicial volume. Answering a question of Gromov, we prove that the volume entropy semi-norm is equivalent to the simplicial volume semi-norm in every dimension. Joint work with I. Babenko.

differential geometry

Audience: researchers in the topic

Pangolin seminar

Series comments: TIME HAS CHANGED: 15:30 Paris 10:30AM Rio de Janeiro

Description: Differential geometry seminar

Zoom link posted on the webpage 15 minutes before each lecture: https://sites.google.com/view/pangolin-seminar/home