An invitation to transverse dynamical systems
Vortrag von Prof. Dr. Tobias Hartnick
Sprecher eingeladen von: Prof. Dr. Alexander Gorodnik
Datum: 16.04.25 Zeit: 13.30 - 14.30 Raum: ETH HG G 19.1
We propose a general framework of transverse dynamical system which allows us to simultaneously study point processes related to lattices in locally compact groups; aperiodic tilings in locally compact groups; strata of translation surfaces. In this general context we introduce a notion of intersection space and construct an associated Siegel-Radon transform, which generalizes the classical Siegel and Siegel-Veech transforms. We discuss conditions which guarantee (square-)integrability of the image and applications of the transform to the spectral theory of tiling spaces and various counting problems. This talk is based on joint work with Michael Björklund (Chalmers).