Noncommutative Geometry in Physics

Marcillaud de Goursac, Axel
(2014) When the M meets the P at IRMP — Location: IRMP, Université Catholique de Louvain (27.May.2014)

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  • Marcillaud de Goursac, AxelUCLouvain
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Abstract
Noncommutative geometry is a domain of Mathematics whose ideas have been inspired by quantum mechanics. We present briefly the philosophy of Noncommutative Geometry and its applications in different parts of mathematics: topology, measure theory, differential geometry, algebraic geometry and group theory. Finally, we see three examples of applications of Noncommutative geometry in Physics: the spectral version of the standard model of Chamseddine-Connes, a formulation of the integral quantum Hall effect due to Bellissard and Quantum Field theories on noncommutative space-time.
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Marcillaud de Goursac, A. (2014). Noncommutative Geometry in Physics. When the M meets the P at IRMP, IRMP, Université Catholique de Louvain. https://hdl.handle.net/2078.5/47145