Oberwolfach Reports


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Volume 13, Issue 3, 2016, pp. 2347–2397
DOI: 10.4171/OWR/2016/41

Published online: 2017-04-22

Measured Group Theory

Miklós Abért[1], Damien Gaboriau[2] and Andreas Thom[3]

(1) Alfréd Rényi Institute of Mathematics, Budapest, Hungary
(2) École Normale Supérieure de Lyon, France
(3) Technische Universität Dresden, Germany

The workshop aimed to study discrete and Lie groups and their actions using measure theoretic methods and their asymptotic invariants, such as $\ell^2$-invariants, the rank gradient, cost, torsion growth, entropy-type invariants and invariants coming from random walks and percolation theory. The participants came from a wide range of mathematics: asymptotic group theory, geometric group theory, ergodic theory, $\ell^2$-theory, graph convergence, representation theory, probability theory, descriptive set theory and algebraic topology.

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Abért Miklós, Gaboriau Damien, Thom Andreas: Measured Group Theory. Oberwolfach Rep. 13 (2016), 2347-2397. doi: 10.4171/OWR/2016/41