Spectral truncations, operator systems and compact quantum metric spaces in noncommutative geomteryOberseminar Global Analysis and Operator Algebras

by Malte Leimbach (MPIM Bonn)

Tuesday Oct 21, 2025, 10:15 AM → 11:45 AM Europe/Berlin

MPIM, Vivatsgasse, 7 - Seminar Room (Max Planck Institute for Mathematics)

In recent years, people have considered ways to study noncommutative
geometry in settings of truncated spectral data. One approach to this
which was put forward by Connes--van Suijlekom emphasizes operator
systems over C*-algebras. Despite lacking multiplication, operator
systems exhibit rich structure. Moreover, they are well-suited for
modeling compact quantum metric spaces. This allows to rigorously pose
questions about convergence of spectral truncations, some of the answers
to which will be outlined. Parts of this talk are based on joint work
with Walter van Suijlekom as well as on joint work in progress with
Evgenios Kakariadis, Ivan Todorov and Walter van Suijlekom.