Results 1 to 10 of about 51 (49)
Spectral Action in Noncommutative Geometry
SpringerBriefs in Mathematical Physics, 2018 What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry à la Connes, deliberately unveiling the answers to these questions.
Michał Eckstein, Bruno Iochum
exaly +2 more sources
Contextuality and Noncommutative Geometry in Quantum Mechanics [PDF]
, 2019 Observable properties of a classical physical system can be modelled deterministically as functions from the space of pure states to outcome values; dually, states can be modelled as functions from the algebra of observables to outcome values.
Barbosa, RS +2 more
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, 2016 Enseignement : Le site épicyclique [NDLR : Voir développement dans le résumé complet ci-joint en téléchargement.] Conférences • 4-6 septembre 2013, une conférence en l’honneur de J.L. Loday, Institut de recherche mathématique avancée, Strasbourg.
Connes, Alain
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Lorentzian approach to noncommutative geometry [PDF]
, 2011 This thesis concerns the research on a Lorentzian generalization of Alain Connes' noncommutative geometry. In the first chapter, we present an introduction to noncommutative geometry within the context of unification theories.
Franco, Nicolas
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Scaling group flow and Lefschetz trace formula for laminated spaces with p-adic transversal
, 2007 In his approach to analytic number theory C. Deninger has suggested that to the Riemann zeta function ζˆ(s) (resp. the zeta function ζY(s) of a smooth projective curve Y over a finite field Fq, q=pf)) one could possibly associate a foliated Riemannian ...
Leichtnam, Eric
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Cartan geometry, supergravity and group manifold approach [PDF]
summary:We make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providing motivations.
François, Jordan, Ravera, Lucrezia
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Extensions, cohomologie cyclique et théorie de l'indice
, 2014 The index theorem of Atiyah and Singer, discovered in 1963, is a striking result which relates many different fields in mathematics going from the analysis of partial differential equations to differential topology and geometry.
Rodsphon, Rudy
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Meromorphic continuation of spectral zeta functions approach to noncommutative geometry
, 2017 Cette thèse s'intéresse à des familles de fonctions zêta spectrales (séries de Dirichlet) qui peuvent être associées à certaines algèbres d'opérateurs sur des espaces de Hilbert.
Gautier-Baudhuit, Franck
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Extensions, cyclic cohomology and index theory
, 2014 Le théorème de l'indice d'Atiyah et Singer, démontré en 1963, est un résultat qui a permis de relier des thématiques mathématiques variées, allant des équations aux dérivées partielles a la topologie et la géométrie différentielle.
Rodsphon, Rudy
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Déformations isospectrales non compactes et théorie quantique des champs
, 2005 In french, 151 pagesThe aim of this thesis is to study the isopectral deformations from the point of view of Alain Connes' noncommutative geometry. This class of quantum spaces constituts a curved space generalisation of Moyal planes and noncommutative ...
Gayral, Victor
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