"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".
Speaker: Markus Steenbock (Universität Wien)
Abstract: 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 torsion-free group. 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.