CONFERENCE

Applications of NonCommutative Geometry to Gauge Theories, Field Theories, and Quantum Space-Time
Applications de la Géométrie Non Commutative aux Théories de Jauge, à la Théorie des Champs et aux Espaces-Temps Quantiques

7 – 11 April 2025

INTRANET FOR ORGANIZERS

Scientific Committee 
Comité scientifique 

Marija Dimitrijević (University of Belgrade)
Rita Fioresi (University of Bologna)
Masoud Khalkhali (University of Western, Ontario)
Andrzej Sitarz (Jagiellonian University)
Richard Szabo (Heriot-Watt University)

Organizing Committee
Comité d’organisation

Roberta Anna Iseppi (University of Göttingen)
Pierre Martinetti (UniGe, INFN)
Thierry Masson (CNRS, Aix-Marseille Université)
Gaston Nieuviarts (University of Genova)
Patrizia Vitale (University of Naples Federico II)

Understanding the geometry of space and time is an important question both for physics and mathematics. Since the advent of quantum mechanics and relativity, it is a challenge to reconcile the spectral view on space developed in quantum physics with the geometrical description of spacetime in general relativity. Noncommutative geometry is an attempt to overcome this opposition by enlarging the notion of geometry so as to incorporate its spectral nature.
The idea of making space noncommutative is probably as old as quantum mechanics, but it has developed considerably since the mid 80’s in various directions, from pure mathematics to theoretical physics, yielding some phenomenological predictions in high energy physics. The aim of this conference is the interplay between noncommutative geometry and physics, notably :
• the spectral description of standard model of fundamental interactions and the highlighting of an internal geometry of spacetime;
• the introduction of an extended notion of spacetime symmetries, and the consequences for physics;
• the proposal of novel frameworks for formulating field theories;
• potential new perspectives on the long-standing challenge of finding a quantum theory of gravity.

Comprendre la géométrie de l’espace et du temps est une question importante tant en physique qu’en mathématiques. Depuis l’avènement de la mécanique quantique et de la relativité générale, c’est un défi de concilier la vision spectrale de l’espace développée en physique quantique avec la description géométrique de l’espace temps en relativité générale. La géométrie non commutative est une tentative de surmonter cette opposition en élargissant la notion de géométrie afin d’incorporer sa nature spectrale.
L’idée de rendre l’espace non commutatif est probablement aussi ancienne que la mécanique quantique, mais elle s’est considérablement développée depuis le milieu des années 80 dans diverses directions, des mathématiques pures à la physique théorique, donnant également lieu à des prédictions phénoménologiques en physique des hautes énergies. L’objet de cette conférence est l’interaction entre la géométrie non commutative et la physique, notamment :
– la description spectrale du modèle standard des interactions fondamentales et la mise en évidence d’une géométrie interne de l’espace-temps ;
– l’introduction d’une notion étendue de symétries de l’espace-temps, et les conséquences pour la physique ;
– la proposition de nouveaux cadres pour formuler des théories des champs ;
– de nouvelles perspectives potentielles concernant le défi de longue date consistant à trouver une théorie quantique de la gravité.

 MINI-COURSES

Pierre Bielavsky (Université Catholique de Louvain)  Aspects of Deformation Quantization
Marija Dimitrijević Ćirić (University of Belgrade)  Quantum symmetries and quantum spacetime
Richard Szabo (Heriott Watt University, Edinburgh)  Introduction to Noncommutative Geometry and its applications to Physics
Walter van Suijlekom (Radboud University Nijmegen)  Spectral geometry and quantum theory
Jean-Christophe Wallet (Université Paris-Saclay)  Noncommutative Gauge and Field Theories

LONG TALKS

Ali Chamseddine (American University of Beirut)  TBA
Alain Connes (Collège de France & IHES)   TBA

TALKS

Paolo Aschieri (University Piemonte orientale & INFN Naples)  Noncommutative Levi-Civita connections
John Barrett (University of Nottingham)  Non-commutative quantum gravity
Ludwik Dabrowski (SISSA)  Geometric tensors via spectral functionals
Fabio Di Cosmo (University Carlos III of Madrid)  Symplectic realisations and Lie Groupies in Poisson Electrodynamics
Alessandra Frabetti (Université Claude Bernard Lyon 1)  Quantisation of Poisson algebra bundles
Peter Gerwinski (Bochum University of Applied Sciences)    A quantisation method, compatible with noncommutative geometry
Giulia Gubitosi (University of Naples Federico II)   TBA
Larisa Jonke (Rudjer Boskovic Institute)  Noncommutative gravity from double field theory
Massoud Khalkhali (Western University, Ontario)  Dirac ensembles and random matrix models in noncommutative geometry
Thomas Krajewski (Aix-Marseille Université)  Finite spectral triple and the tenfold way
Vladislav Kupriyanov (UFABC)  Poisson Electrodynamics
Fedele Lizzi (University of Naples Federico II & INFN Naples)   TBA
Shahn Majid (Queen Mary University of London)   TBA
Flavio Mercati (University of Burgos)   TBA
Anna Pachol (University of South-Eastern Norway)   TBA
Andrzej Sitarz (Jagiellonian University)  On spectral dimension and functionals
Harold Steinacker (Wien University)  Quantum space-time and gravity from the IKKT matrix model
Christoph Stephan (University of Potsdam)  Formalising Noncommutative Geometry in Lean 4
Sachindeo Vaidya (Indian Institute of Science, Bengaluru)  Recent developments in Gauge matrix Models
Raimar Wulkenhaar (University of Münster)  Noncommutative geometry meets topological recursion
 

 

SHORT TALKS

Roberta Anna Iseppi (University of Göttingen)  The BV quantisation in NCG: the case of Finite Spectral Triples
Kilian Hersent (Burgos University)  TBA
Gaston Nieuviarts (University of Genova)  Lorentz symmetry from an almost-commutative twisted spectral triple
Chiara Pagani (University of Bologna)  Reductions of quantum principal bundles
Farrokh Razavinia (Azarbaijan Shahid Madani University)   Applications of the NC algebraic geometry in quantum computing
Carlos I. Perez Sanchez (University of Heidelberg)   Noncommutative geometries on a graph
Teun Van Nuland (TU Delft)  The Feynman rules of spectral QED
Thomas Weber (Charles University in Prague)  Hopf-Galois extensions in noncommutative differential geometry

 

 

CONTRIBUTED TALKS

Benedek Bukor (Comenius University)    Investigation of the cubic asymmetric multitrace matrix model
Nikila Herceg (Ruđer Bošković institute)   Noncommutative Regge-Wheeler potential: some perturbative results
Yuezhao Li  (Leiden University)  TBA
Xiaoqi Lu (University of Glasgow)  Hilbert transforms on Coxeter groups and groups acting on buildings
Valentine Maris (ENS Lyon)   Gauge theory on noncommutative spaces
Pierre Martinetti (UniGe, INFN)  In memory of M. Filaci
Nathan Pagliaroli (University of Western Ontario)  Towards the continuous limits of random fuzzy geometries
Pietro Pellecchia (University of Naples Federico II) Time Dilation in Planck-scale-deformed Special Relativity
Filip Pozar (Institute Ruđer Bošković)   Corrections to Kerr-Newman black hole from NC Einstein-Maxwell eq.

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