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Invariant Random Subgroups

  • Clara LöhEmail author
Chapter
  • 41 Downloads
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

We will now consider an approximation theorem for covolume-normalised Betti numbers of uniform lattices in semi-simple Lie groups. We will first explain the statement of the theorem and two instructive examples. We will then sketch how ergodic theory, in the incarnation of invariant random subgroups, helps to handle such homology gradients and outline the structure of the proof of the theorem.

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Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Fakultät für MathematikUniversität RegensburgRegensburgGermany

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