The characterisation of polyhomogeneous functions and calculus on groupoidsOberseminar Global Analysis and Operator Algebras

by Ed McDonald (MI Uni Bonn)

Tuesday May 19, 2026, 2:15 PM → 3:45 PM Europe/Berlin

Endenicher Allee 60/1-008 (Mathezentrum)

I will explain how the log-polyhomogeneous functions can be characterised as the approximate generalised eigenfunctions of the generator of the zoom automorphism on the tangent groupoid. This leads to some pleasing expressions for the canonical trace and the residue and has some applications to spectral theory.