Noncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples

Abstract

Spectral triples have recently turned out to be relevant for different approaches that aim at quantizing gravity and the other fundamental forces of nature in a mathematically rigorous way. The purpose of this workshop was to bring together researchers mainly from noncommutative geometry and loop quantum gravity –two major fields that have used spectraltriples independently so far– in order to share their results and open issues.