"Geometry and Analysis on Groups" Research Seminar
Time: 2015.11.10, 15:00–17:00
Location: Seminarraum 8, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "Strong Atiyah conjecture for free groups and small cancellation groups".
Steenbock (Universität Wien)
Motivated by Atiyah's 1976 paper on "Elliptic operators, discrete
groups and von Neumann algebras", the Atiyah conjecture predicts the
integrality of the \(\ell^2\)–Betti numbers associated to a
We discuss Linnell's proof of a strong variant of this conjecture for the free group. We then give a survey on recent results for small cancellation groups.
The introductory talk on von Neumann algebras is given by Rüdiger Bodenseher.