CATREN Gabriel

Cursus

Projets de recherche

Projets d’Education scientifique

Organisation d’évènéments scientifiques

Online X Conference on Quantum Foundations. Ten Irreversible Years of Quantum Foundations in Argentina, 30 November – 4 December 2021, LIA Identities, Forces, Chaos, Quanta (co-organized with G.M. Bosyk, S. Fortin, F. Holik, and O. Lombardi.
Online Workshop Identity, Individuality, Indistinguishability in Physics and Mathematics (co-organized with F. Holik), October 6-8th, 2021, LIA Identities, Forces, Chaos, Quanta, ANCyPT (Argentine).
IX Conference on Quantum Foundations : Indistinguishability and its Impact on Quantum Foundations, 27-29 November 2019, LIA Homotophysics, National University of Córdoba, Córdoba, Argentina.
International Workshop Leibniz’s Principle of Identity of Indiscernibles and its Repercussion in Physics and Mathematics II (co-organized with D. Rabouin and B. Halimi), 28-29 Septembre 2019, LIA Homotophysics, Université Paris Diderot, Paris.
7e Ecole thématique du CNRS Philosophie et Mathématiques Contemporaines : Homotopie, Déformation, Identification, 27-29 June 2019, LIA Homotophysics, Université Paris Diderot, Paris.
International Workshop J.-M. Souriau 2019 (co-organized with J.-J. Szczeciniarz and M. Lachieze-Rey), 27-31 May 2019, LIA Homotophysics, Université Paris Diderot, Paris.
International Workshop Leibniz’s Principle of Identity of Indiscernibles and its Repercussion in Physics and Mathematics I (co-organized with O. Esquisabel, B. Halimi, and D. Rabouin), LIA Homotophysics, 25-27 April 2019, Universidad CAECE, Buenos Aires, Argentina.
VIII Conference on Quantum Foundations : Quantum Logic and Quantum Structures (co-organized with M. Bosyk, S. Fortin, and F. Holik), 21-23 November 2018, LIA Homotophysics, Universidad CAECE, Buenos Aires, Argentina.
International Congress Quantum Gravity : Physics and Philosophy (co-organized with T. Damour, E. During, and F. Zalamea), 24-27 October 2017, Institut des Hautes Etudes Scientifiques (IHES), Bures-sur-Yvette, France. Contributors : C. Bachas, S. Carlip, C. Rovelli, A. Connes, D. Dieks, Y. Dolev, S. de Haro, G. Horowitz, T. Jacobson, C. Kiefer, G. Veneziano, and T. Vistarini.
Journée d’étude Mathématiques et Philosophie des Mathématiques (co-organized with S. Maronne, B. Meles and M. Anel), CIMI (Centre International de Mathématiques et d’Informatique, Université de Toulouse), 15-16 avril 2016, Toulouse, France. Contributors : Y.-R. Gianas, J. Merker, E. Finster, T. Leinster, D. Rössler, and J. Tapia.
International Congress New Spaces in Mathematics and Physics. Formal and Philosophical Reflections (co-organized with M. Anel), 28 September – 2 October 2015, Institut Henri Poincaré, Paris. Contributors : M. Anel, P. Cartier, D.-C. Cisinski, P. Iglesias-Zemmour, A. Joyal, M. Kapranov, A. Kock, M. Kontsevich, S. Majid, M. Mariño, R. Penrose, T. Porter, J, Pradines, H. Sahlmann, U. Schreiber, C. Simpson, and M. Vaquié. (http://ercpqg-espace.sciencesconf.org/)
Workshop Philosophical Perspectives on the Relations between Physics and Mathematics, 30 March 2015, Université Paris Diderot, Paris. Contributors : J.-J Szczeciniarz, E. During, D. Rabouin, and J. Petitot.
Workshop Hermann Weyl and the philosophy of the ‘new physics’ (co-organized with Silvia De Bianchi), 10-11 December 2014, Université Paris Diderot, Paris. Contributors : J.L. Bell, J. Bernard, G. Catren, S. De Bianchi, C. Eckes, J. Gray, C. Lobo, T. Ryckman, E. Scholz and N. Sieroka.
Workshop On Entanglement (co-organized with P. Uzan and R. Angeloni), 28-29 November 2014, Université Paris Diderot, Paris. Contributors : A. Afriat, R. Angeloni, H. Atmanspacher, G. Bacciagaluppi, M. Esfeld, T. Filk, A. Grinbaum, H. Roemer, P. Uzana, and H. Walach. (http://www.sphere.univ-paris-diderot.fr/spip.php?article1392)
Workshop On the Notion of Identification in Physics and Mathematics (co-organized with M. Anel), 13 November 2014, Université Paris Diderot, Paris. Contributors : E. Finster, U. Schreiber, D. Corfield, and M. Anel.
Workshop Estate Quantistica (co-organized with G. Dito, E.R. Bezerra de Mello, J. Fabris, G. Landi, O. Piattella, and I. Shapiro), 1-5 September 2014, Université Paris Diderot, University of Bourgogne, Universidade Federal do Espírito Santo, Università di Trieste, Universidade Federal de Juiz de Fora, Universidade Federal da Paraíba, Scalea, Italy. Contributors : K. Fredenhagen, A. Perez, P. Peter, M. Asorey, M. Bordag, R. Brunetti, S. Carneiro, M. Dubois-Violette, B. Hartmann, F. Lizzi, A. López Maroto, N. Pinamonti, N. Pinto-Neto, P. Schapira, T. Turgut, and W. Zimdahl.
Workshop Philosophy of Mechanics : Mathematical Foundations, 12-14 February 2014, Université Paris-Diderot, Paris, France. Contributors : M. Anel, G. Belot, D. Bennequin, J. Butterfield, G. Catren, J.A.C. Morales, A. Doering, F. Hélein, C. Heunen, J. Kouneiher, K. Landsman, S. Majid, C.-M. Marle, T. Masson, J. Page, and U. Schreiber.
Workshop The Geometric Structure of the Space-Time, March 27-28 2014, Instituto de Astronomía y Física del Espacio – IAFE – (CONICET), Universidad de Buenos Aires, Buenos Aires, Argentine. Contributors : G. Catren, S. Dain, R. Ferraro, R. Gambini, A. Garbarz, A. Goya, M. Leston, C. Nuñez, G. Pérez-Nadal, and J. Zanelli.

Direction de séminaires

Conférences internationales

On Gauge Symmetries, Indiscernibilities, and Groupoid-Theoretical Identities, 678th Wilhelm and Else Heraeus Seminar Hundred Years of Gauge Theory, 30 July – 3 August 2018, Physikzentrum Bad Honnef, Germany.
The Ma(t)ter and the Vision, talk given in the One-day Colloquium on Contemporary Scientific Thought at the European Graduate School (EGS), June 18th, 2017, Saas-Fee, Switzerland.
Le Phénoumène, International Colloquium Choses en Soi. Métaphysique et Réalisme Aujourd’hui (organized by E. Alloa and E. During), 16-19 November, 2016, Université Paris Ouest Nanterre, Ecole Normale Supérieur, Columbia Global Center, Paris.
A Plea for Narcissus : On the Transcendental Reflection – Refractive Mediation Tandem, Workshop Continental and Analytic Kantianism. The Legacy of Kant in Meillassoux’s and Sellars’ Realism (organized by F. Gironi), 16 June 2016, University College Dublin, Ireland.
Steps Towards an Immanental Phenoumenology, Workshop The Stubbornness of the Empirical (organized by A. Ireland, B. Woodard, K. Burch, L. Barcelos and M. Hare), 29 October 2015, Performing Arts Forum (PAF), St Erme Outre et Ramecourt, France.
Vers une Théorie Post-Critique de la Représentation, Workshop Lois des dieux, des hommes et de la nature (organized by G. Longo), 15 October 2015, Institut d’Études Avancées de Nantes, Nantes, France.
The Phenoumenodelic Fields, Workshop Dreaming the End of Dreaming (organized by A. Popa and F. Flueras), 3 July 2015, Akademie Schloss Solitude, Stuttgart, Germany.
A Foray into Immanental Phenoumenology, Future of Realism Colloquium, 20 February 2015, University of Amsterdam.
In Weyl’s Footsteps : Towards a Group-Theoretical Ontology for Quantum Systems, Workshop Hermann Weyl and the philosophy of the ‘new physics’, 10-11 December 2014, Université Paris Diderot.
On the Relation Between Gauge and Phase Symmetries, XIV International Symposium Frontiers of Fundamental Physics (FFP14), 14-18 July 2014, Université d’Aix-Marseille, Marseille, France.
La estructura del espacio-tiempo a la luz de las geometrías de Cartan, Workshop The Geometric Structure of the Space-Time, March 27-28 2014, Instituto de Astronomía y Física del Espacio (CONICET)
Universidad de Buenos Aires, Buenos Aires, Argentine.
A Portrait of Non-Constrained Mechanics as a Generalized Gauge Theory, Workshop Philosophy of Mechanics : Mathematical Foundations, 12-14 February, 2014, Université Paris Diderot, Paris, France.
On Cartan Connections and the Geometric Structure of Space-Time, Workshop Approaches to Quantum Gravity, 6-10 January 2014, Université Blaise-Pascal, Clermont-Ferrand, France.
(with J. Page) On the Galoisian Structure of the Heisenberg Indeterminacy Principle, Workshop Whither Quantum Structures ? Quantum Logic in the XXIth Century, 30 November – 1 December 2013, Center Leo Apostel, Vrije Universiteit Brussel, Brussel, Belgium.
Towards a Group-Theoretical Interpretation of Mechanics, Workshop Geometry and Physics II, International Fall Workshop, 28-29 November 2013, Institute Henri Poincaré (IHP), Paris, France.
(with F. Holik) Quantum Probabilities and Non Distributive Lattices, Foundations of physics 2013, The 17th UK and European Meeting 31 July 2013, Munich, Germany.
Towards a Group-Theoretical Quantum Ontology, Workshop Journée Philosophie de la Physique (organised by A. Afriat, A. de Saint-Ours et E. During), 28 June 2013, SPHERE (UMR 7219, Université Diderot/CNRS), Paris, France.
Quantum Ontology in the Light of Gauge Theories, UNILOG - 4th World Congress on Universal Logic, Workshop on Logical Quantum Structures, 6-7 April 2013, Rio de Janeiro, Brazil.
(with J. Page), Conceptual Links Between Galoisian Indiscernibility and Heisenberg Indeterminacy Principle, UNILOG - 4th World Congress on Universal Logic, Workshop on Logical Quantum Structures, Universidade Federal do Rio de Janeiro, April 1-7 2013, Rio de Janeiro, Brazil.
On Cartan Geometries and the Formulation of a Gravitational Gauge Principle, Workshop Reflections on space, time and their quantum nature, Albert Einstein Institute, 26-28 November 2012, Golm, Germany.
The Thing and the Shrink, Colloque Dark Materialism, Natural History Museum, London Graduate School, Kingston University, 12 January 2011, London, United Kingdom.
Homological Extimities : Philosophical-Oriented Introduction to Algebraic Topology, Workshop Form and Formalism : Thinking Method, Transmission and Rupture, Jan Van Eyck Academie, 7-8 November 2009, Maastricht, Netherlands.
Galoisian Quantum Mechanics, Workshop More Geometrico 3. De l’univers au monde quantique : structures géométriques et topologiques, Fondation des Treilles, May 5-10, 2008. France.
Can Classical Description of Physical Reality Be Considered Complete ?, Young Researchers Conference, Perimeter Institute for Theoretical Physics, December 3-7 2007, Waterloo, Canada.
Extended Gauge Principle and Quantization of Gauge Systems, Albert Einstein Century International Conference, UNESCO, July 18-22, 2005, Paris, France.
Quantization of Cosmological Models with Extrinsic Time, XXVII Reunión Bianual de Relatividad y Gravitación, December 6-8 2000, La Plata, Argentina.

Séminaires

On Identities, Forces, and Quanta, First Annual Meeting of the Institute of Physical Sociality, 17-24 February 2018, The Social Justice Institute (GRSJ), New York University, United States.
What is Phenoumenodelic Materialism ?, Seminar of the Institute for Gender, Race, Sexuality, and Social Justice, December 14, 2017, University of British Columbia, Vancouver, Canada.
On Quantum Indeterminacy as a Form of Symmetry Reduction, 14 May 2015, Graduate School of Information Science, Nagoya University, Japan.
On Cartan Connections and the Geometric Structure of Spacetime, 15 October 2014, Seminar of the Research Institute for Mathematical Sciences (RIMS), Kyoto University, Kyoto, Japan.
On the Relation Between Gauge and Phase Symmetries, Seminar of the High Energy Accelerator Research Organization (KEK), 28 October 2014, Tsukuba, Japan.
Sur la théorie des connexions de Cartan et sa pertinence par rapport à la physique de l’espace-temps, Séminaire d’épistémologie et d’histoire des idées mathématiques de l’IREM de l’Université Paris VII-Denis-Diderot (directed by M. Serfati), 21 May 2014, Institut Henri Poincaré, Paris.
Ontologie Quantique et Théorie des Groupes, Seminar Histoire et Philosophie de la Physique, 28 January 2014, Laboratoire SPHERE (UMR 7219), Université Paris Diderot, Paris, France.
Quantum Ontology in the Light of Geometric Quantization and Gauge Theories, Seminar Philosophie et Mathématiques (organised by P. Cartier, P. Lochak, G. Longo, J. Merker, J. Petitot et J.-J Szczeciniarz), 10 June 2013, Ecole Normale Supérieure, Paris, France.
On Cartan Geometries in Gravitational Physics, Seminar Histoires de Géométries (organised by D. Flament), Fondation Maison des Sciences de l’Homme (FMSH), 11 February 2013, Paris, France.
Sobre las conexiones de Cartan y su relevancia en física, Seminar of Algebraic Geometry (organized by F. Cukierman), Department of Mathematics, University of Buenos Aires, Buenos Aires, Argentine, November 2, 2012.
La mécanique quantique à la lumière des théories de jauge, Seminar Physique et Philosophie (organised by A. Afriat, A. de Saint-Ours et E. During), SPHERE (UMR 7219, Université Diderot/CNRS), 4 May 2012, Paris, France.
Geometric Structure of Yang-Mills Theory, Seminar Fondements de la Physique, Institut d’Histoire et de Philosophie des Sciences et des Techniques, March 31 2006, Université Paris 1, Paris, France.

Écoles d’été

Journaux internationaux à comité de lecture

“On Gauge-Symmetries, Indiscernibilities, and Groupoid-Theoretical Equalities”, Special Issue Direct and Indirect Empirical Status of Theoretical Symmetries in Physics, ed. by V. Chasova, Studies in History and Philosophy of Science, accepted for publication.
“Klein-Weyl’s Program and the Ontology of Gauge and Quantum Systems”, Special Issue (S. De Bianchi and G. Catren, Guest Eds.) Hermann Weyl and the philosophy of the ‘new physics’, Studies in History and Philosophy of Modern Physics, June 2017.
(with S. De Bianchi) “Introduction to the Special Issue Hermann Weyl and the Philosophy of the ‘New Physics’”, Studies in History and Philosophy of Modern Physics, June 2017.
“Pleromática o las Mareaciones de Elsinor”, Revista de Filosofía Nombres, N°29, Cordoba : Alción Editora (2015). This article is an extended version in Spanish of “Pleromatica or Elsinore’s Drunkenness”, S. De Sanctis and A. Longo (eds.), Breaking the Spell. Contemporary Realism under Discussion, Mimesis International (2015).
“Geometric Foundations of Cartan Gauge Gravity”, International Journal of Geometric Methods in Modern Physics, Vol. 12, No. 4 (2015).
(with J. Page) “On the Notions of Indiscernibility and Indeterminacy in the Light of the Galois–
Grothendieck Theory”, Synthese, Vol. 191, Issue 18, 4377-4408 (2014).
“On the Relation Between Gauge and Phase Symmetries”, Foundations of Physics, Vol. 44, Issue 12, 1317-1335 (2014).
(with J. Page), “Towards a Galoisian lnterpretation of Heisenberg lndeterminacy Principle”, Foundations of Physics, Vol. 44, Issue 12,1289-1301 (2014).
“Fibras Cuánticas para Sistemas Clásicos : Introducción a la Cuantificación Geométrica”, Scientiae Studia, Vol. 11, N° 1, 2013.
“De la Filosofía como Polifanía”, Revista de Filosofía Nombres, N° 25, Cordoba : Alción Editora (2011). Translated to Portuguese by L. Olimpio and published in Revista Lampejo, vol. 10, n°1, August, 2021.
“On Philosophical Alchimery, or Why All Chimeric Compositions are Philosophical Stones”, Collapse. Philosophical Research and Development, Vol. VII, Falmouth : Urbanomic, 511-517 (2011).
« L’Origine Neurogéométrique de la Géométrie », review of the book J. Petitot, Neurogéométrie de la vision - Modèles mathèmatiques et physiques des architectures fonctionnelles (Paris : Les Éditions de l’École polytechnique, 2009), Critique, Paris : Editions de Minui (2011).
« La tâche du philosophe. Variation à partir de Die Aufgabe des Ubersetzers de Walter Benjamin », in Philo-Fictions. La Revue des non-philosophies, N°3. Traduction : une dernière fidélité, ed. by F. Laruelle, 2010.
« A Throw of the Quantum Dice Will Never Abolish the Copernican Revolution”, Collapse. Philosophical Research and Development, Vol. V, Falmouth : Urbanomic, 453-498 (2009).
(with J. Devoto) “Extended Connection in Yang-Mills Theory”, Communications in Mathematical Physics, 284, pp. 93-116 (2008).
“On Classical and Quantum Objectivity”, Foundations of Physics, 38, 470-487 (2008).
“Geometric Foundations of Classical Yang-Mills Theory”, Studies in History and Philosophy of Modern Physics, 39, 511-531 (2008).
(with M. Castagnino and R. Ferraro) “Time Asymmetries in Quantum Cosmology and Boundary Conditions to the Wheeler-DeWitt Equation”, Class. Quant. Grav. 19 (2002).
(with R. Ferraro) Quantization of the Taub Model with Extrinsic Time, Phys. Rev. D, 63, 023502 (2001).

Chapitres

“Fichte en el Amazonas », Introduction to J.-C. Goddard, La filosofía fichteana de la vida. Lo patológico y lo transcendental, Buenos Aires : Hekht, 2021.
(with M. Anel) Introduction to M. Anel and G. Catren (Eds.), “New Spaces in Mathematics. Formal and Conceptual Reflections”, Cambridge University Press, 2021.
(with M. Anel) Introduction to M. Anel and G. Catren (Eds.), “New Spaces in Physics. Formal and Conceptual Reflections”, Cambridge University Press, 2021.
“Homotopic Identities and the Limits of the Interpretation of Gauge Theories as Descriptive Redundancy”, in S. de Bianchi and C. Kiefer (Eds.), 100 Years of Gauge Theory. Past, Present and future Perspectives, Springer, 2020.
J. Page and G. Catren, “Phase Symmetries of Coherent States in Galois Quantum Mechanics”, in D. Aerts, M.L. Dalla Chiara, C. de Ronde and D. Krause (Eds.), Probing the Meaning of Quantum Mechanics, 2019, World Scientific, Singapore.
« Le phénoumène », in E. Alloa and E. During (Eds.), Choses en soi, Presses Universitaires de France, Paris, 2018.
“A Plea for Narcissus : On the Transcendental Reflexion /\ Refraction Mediation Tandem”, in F. Gironi (ed.), The Legacy of Kant in Sellars and Meillassoux Analytic and Continental Kantianism, Routledge, 2018.
« Sur le cercle vertueux de speculation », in J. Lageira and A. Longo (Eds.), La genèse du transcendental. Conditions et hipothèses, Editions Mimésis, 2017.
“Pleromatica or Elsinore’s Drunkenness”, in S. De Sanctis and A. Longo (eds.), Breaking the Spell. Contemporary Realism under Discussion, Mimesis International, 63-88 (2015). This article has been republished in A. Popa, F. Flueraş (eds.), Black Hyperbox, Punch, 2017.
“What is Ensoundment ?” in F. Hecker, R. Mackay, S. Gaensheimer and M. Wandschneider (eds), Formulations, Porto, Walther Koenig (2016).
“Quantum Ontology in the Light of Gauge Theories”, in C. de Ronde, S. Aerts, and D. Aerts, (eds.) Probing the Meaning of Quantum Mechanics : Physical, Philosophical, and Logical Perspectives, World Scientific Publishing, Singapore, 25-46 (2014).
“Outland Empire : Towards a Speculative Definition of Modern Philosophy”, in R. Bryant, N. Srnicek et G. Harman (eds.), The Speculative Turn : Continental Materialism and Realism, Melbourne : re-press, 334-367 (2010).
“Can Classical Description of Physical Reality be Considered Complete ?” in M. Bitbol, P. Kerszberg, and J. Petitot (eds.) Constituting Objectivity : Transcendental Perspectives on Modern Physics, The Western Ontario Series in the Philosophy of Science, Vol. 74, 375–386, Springer Verlag, Berlin (2009).
(with C. Simeone) “Notes on Dilaton Quantum Cosmology”, in A. Reimer (ed.), Trends in General Relativity and Quantum Cosmology, New York : Nova Science Publishers (2006).

Actes de conférences internationales

D’autres publications

Projets editoriaux

Présentations dans des évènements scientifiques

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