Abstract cone operators and Lipschitz rigidity for scalar curvature

We will discuss some details of the proof of a Lipschitz rigidity result that will be stated in the talk by Simone Cecchini that precedes this talk.

I will introduce an abstract functional analytic setup that allows the analysis of the Dirac operator on manifolds with cone-like singularities. This setup is based on the work of Brüning and Seeley. This will be used to derive an index formula for the twisted Lipschitz Dirac operator on the spherical suspension from an index result of Chou.

This is based on joint work with Simone Cecchini, Bernhard Hanke and Thomas Schick.