Malte Leimbach (Radboud University, Nijmegen)
A couple of years ago, Connes and van Suijlekom introduced the notion of spectral truncation of a spectral triple as a means to trea noncommutative geometry at finite resolution.
This is motivated by the physical obstruction that only finitely many values in the spectrum of the (Dirac) operator in a spectral triple can be measured, yet one still wants to be able to say something about the underlying geometry.
In this talk, I will begin by recalling, respectively introducing the notions of spectral triples, spectral truncations, operator systems and Gromov Hausdorff distance, and will then continue by reporting on an ongoing project together with my supervisor Walter van Suijlekom where we investigate the issue of convergence of spectral truncations in the case of the $d$-dimensional torus.
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