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Homology growth through finite index subgroups

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OGGW01 - Discrete and profinite groups

I will survey recent work on understanding the behaviour of homology through chains of finite index subgroups.  I will mention a number of questions and conjectures relating the invariants to profinite rigidity, fibring, homology over universal skew fields, hyperbolic volume, and L^2-torsion.   Based on joint works with Naomi Andrew, Sam Fisher, Yassine Guerch, Sebastian Hensel, Monika Kudlinska, Ian Leary, Wolfgang Lück, and Ric Wade.

This talk is part of the Isaac Newton Institute Seminar Series series.

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