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We will first review spectral flow and its application to bulk and boundary properties of the quantum Hall effect. We will then introduce the so-called KO-valued spectral flow, defined in joint work with Alan Carey, Matthias Lesch and Adam Rennie, and how it can be used to recover the classification of topological insulators and superconductors by Kennedy and Zirnbauer. Time permitting, we will then present recent joint work with Johannes Kellendonk and Adam Rennie, which uses the Cayley transform on Hilbert C*-modules to generalise many of these ideas and gives analogous results to recent work by Alldridge, Max and Zirnbauer.

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Chris Bourne, Tohoku University
Seminarraum Theoretische Physik
Contact: not specified