Convergence of spectral truncations of tori and compact quantum groupsOberseminar Global Analysis and Operator Algebras

by Malte Leimbach (MPIM Bonn)

Tuesday Jan 13, 2026, 2:15 PM → 3:45 PM Europe/Berlin

Endenicher Allee 60/1-008 (Mathezentrum)

The spectral truncation formalism arises from an approach to
noncommutative geometry which incorporates constraints on the
availability of spectral data. It was asked by Connes--van Suijlekom
whether these truncations approximate spectral triples and they proposed
to consider this question in the sense of Gromov--Hausdorff distance of
state spaces. In this talk, we will refine this question using Rieffel's
compact quantum metric spaces and Kerr--Li's operator Gromov--Hausdorff
distance. We will discuss convergence of spectral truncations for tori
and for compact quantum groups. This is based on joint work with Walter
van Suijlekom.