Operator Algebra Seminar

Location:  RI 314

Speaker: Patrick Melanson, University of Regina

Title:  An Introduction to Spectral Triples

Abstract:  

Alain Connes' concept of "spectral triple" in noncommutative geometry has become increasingly significant in both mathematics and physics, with the subject continuing to evolve. In this work, we introduce the key elements of spectral triples and explore their fundamental components. We also consider alternative definitions that may be useful in various contexts. Additionally, we examine morphisms between spectral triples, leading to the formulation of a category that opens avenues for further research and exploration.