Category Archives: Billets

Workshop “New Spaces in Mathematics and Physics – Formal and Philosophical Reflections”

Workshop “New Spaces in Mathematics and Physics – Formal and Philosophical Reflections”

28 Septembre – 2 Octobre 2015 – Institut Henri Poincaré, Paris

Since the development of differential and algebraic varieties, the notion of space has traversed very radical transformations, both in pure mathematics and in mathematical physics. The objective of this project is to propose a formal, conceptual and historical vision of these evolutions by addressing recent notions of space in mathematics and/or physics (such as diffeologies, schemes, topoi, stacks, spin networks, homotopy types, noncommutative spaces, supermanifolds, etc.).

This conference is part of the wider project of editing a collective book on these subjects. The workshop is conceived as an opportunity to collectively discuss and enrich the different contributions to the book.

The workshop is free and open but you must register.

Speakers:
Mathieu Anel (SPHERE, ERC Philosophie de la Gravitation Canonique), Pierre Cartier (Institut des Hautes Etudes Scientifiques), Denis-Charles Cisinski (Institut de Mathématiques de Toulouse), Patrick Iglesias-Zemmour (Institut de Mathématiques de Marseille, CNRS), André Joyal (Université du Québec à Montréal), Mikhail Kapranov (Kavli Institute for the Physics and Mathematics of the Universe, Tokyo), Anders Kock (Department of Mathematical Sciences, Aarhus University), Maxim Kontsevich (Institut des Hautes Etudes Scientifiques), Shahn Majid (Queen Mary University of London, School of Mathematical Sciences), Marcos Mariño (Université de Genève) , Roger Penrose (University of Oxford), Timothy Porter (University of Wales, Bangor), Jean Pradines (Université Paul Sabatier, Toulouse), Hanno Sahlmann (University of Erlangen-Nürnberg), Urs Schreiber (Eduard Čech Institute for Algebra, Geometry and Physics, Prague), Carlos Simpson (Laboratoire J.A. Dieudonné, Université de Nice), Michel Vaquié (Institut de Mathématiques de Toulouse)

You can find all the details concerning this event (registration, topics of the talks, book, practical information,…) on the workshop’s official website.
See also the SPHERE website.

This workshop has received funding from the European Research Council under the European Community’s Seventh Framework Programme (FP7/2007-2013 Grant Agreement N° 263523, ERC Project PhiloQuantumGravity).

Workshop « Perspectives philosophiques sur les rapports entre physique et mathématiques »

Workshop “Perspectives philosophiques sur les rapports entre physique et mathématiques”

30 Mars 2015 – Université Paris Diderot

Au cours de cette journée (et d’une deuxième à venir prochainement), nous voudrions explorer les questions suivantes concernant le rapport entre mathématiques et physique : Comment comprendre d’un point de vue philosophique la mathématisation galiléenne de la nature, la « (dé)raisonnable efficacité des mathématiques dans la physique » (E. Wigner) et le « caractère protéiforme des mathématiques » (i.e. le fait qu’une même structure mathématique puisse avoir des réalisations empiriques différentes) (S. Mac Lane) ? Comment décrire ce qui fait ainsi « ingression » (A.N. Whitehead) dans la nature physique (ou ce qui en est « extrait » ou « abstrait ») : comme des structures, des schémas, des idées, des concepts, des objets, des formes, des motifs (patterns) ? Quelle est l’« origine » de ces « ingrédients » ? Quel est le rapport entre la liberté constructive des mathématiques pures et le fait que certaines des structures ainsi construites soient utiles en physique ? Comment comprendre l’excès des mathématiques pures par rapport à ce qui est effectivement utilisé en physique ? Afin de réactiver et déployer ces questions, nous voudrions revisiter certaines des réponses déjà données, comme par exemple les réponses de type platonicien (e.g. K. Gödel, A. Lautman, A. Connes, D. Mumford), les approches (neo-)transcendantales (J. Petitot), les approches cognitivistes, historicistes et/ou évolutionnistes (G. Longo), les partages du type syntaxique/sémantique ou software/hardware, la compréhension des mathématiques comme théorie de l’être-en tant qu’être (A. Badiou) ou bien comme ontologie formelle « du quelque chose en général pensé dans la généralité la plus vide qui soit, avec toutes les formes dérivées engendrables a priori » (E. Husserl, Logique formelle et logique transcendantale).

Intervenants:
Elie During (IREPH – Université de Paris Ouest Nanterre), Jean Petitot (Centre d’Analyse et de Mathématique Sociales (CAMS), EHESS – CNRS), David Rabouin (SPHERE, Université Paris Diderot – CNRS), Jean-Jacques Szczeciniarz (Directeur du Département Histoire et Philosophie des Sciences, Université Paris Diderot)

Programme:

9h15 : Ouverture
9h30 – 11h : J.-J. Szczeciniarz, À propos d’analyses d’Albert Lautman portant sur les relations entre mathématiques et physique .
11h15 – 12h45 : E. During, Uniformité et contingence : Bergson, Whitehead et la très raisonnable efficacité des mathématiques.
14h30 – 16h : D. Rabouin, Cent et mille visages. Quelle philosophie pour quel espace ?.
16h15 – 17h45 : J. Petitot, Analyse conceptuelle et synthèse computationnelle en physique mathématique

This workshop has received funding from the European Research Council under the European Community’s Seventh Framework Programme (FP7/2007-2013 Grant Agreement N° 263523, ERC Project PhiloQuantumGravity).

Bâtiment Condorcet, salle 646A (Mondrian),
10, rue Alice Domon et Léonie Duquet, 75013 Paris

Plus de détails (abstracts, …) sont disponibles sur le site du laboratoire SPHERE.

Workshop “Hermann Weyl and the philosophy of the ‘new physics'”

Workshop “Hermann Weyl and the philosophy of the ‘new physics'”

December 10-11, 2014 – University Paris Diderot

Speakers:
John L. Bell, Julien Bernard, Gabriel Catren, Silvia De Bianchi
, Christophe Eckes
, Jeremy Gray
, Carlos Lobo, Thomas Ryckman
, Erhard Scholz, Norman Sieroka.

Organizers: 
Gabriel Catren and Silvia De Bianchi

This workshop has received funding from the Evert Willem Beth Foundation
and the European Research Council under the European Community’s Seventh Framework Programme (FP7/2007-2013 Grant Agreement N° 263523, ERC Project PhiloQuantumGravity).

Condorcet building, Amphitheater Pierre Gilles de Gennes,
10, rue Alice Domon et Léonie Duquet, 75013 Paris

More details are available on the SPHERE website here.

Workshop on Entanglement

Workshop on Entanglement

November 28-29, 2014 – University Paris Diderot

Initially, the concept of entanglement has been coined by Schrödinger to describe a fundamental property of a composed, physical system whose parts have interacted in their common past (Schrödinger, 1935) :

“When two systems, of which we know the states by their respective representatives, enter into temporary physical interaction due to known forces between them, and when after a time of mutual influence the systems separate again, then they can no longer be described in the same way as before, viz. by endowing each of them with a representative of its own. I would not call that one but rather the characteristic trait of quantum mechanics, the one that enforces its entire departure from classical lines of thought. By the interaction the two representatives [the quantum states] have become entangled.”

Entanglement is the central concept of quantum mechanics, which can explain non-locality phenomena, as in all EPR-like experiments. Entanglement can even be used as a physical resource in information protocols, like quantum cryptography or quantum teleportation.
Moreover, as recently suggested by some researchers, the concept of entanglement can be represented within the framework of a generalized, possibly weakened, version of quantum theory where all a priori references to the physical world have been relaxed –which thus gives rise to applications beyond the strict material domain.
This workshop aims to deal with the concept of entanglement according to its different aspects and its possible interpretations. Historical, physical, metaphysical, informational and generalized approaches to this very fruitful concept will be addressed.

Speakers:
Alexander Afriat, Roberto Angeloni, Harald Atmanspacher, Guido Bacciagaluppi, Michael Esfeld, Thomas Filk, Alexei Grinbaum, Hartman Roemer, Pierre Uzan, Harald Walach

Organization of the workshop: 
Pierre Uzan (SPHERE), Gabriel Catren (CNRS, projet ERC Philosophie de la Gravitation Quantique Canonique), Roberto Angeloni (BMC, SPHERE)

This workshop has received funding
from the European Research Council under the European Community’s Seventh Framework Programme –(FP7/2007-2013 Grant Agreement N° 263523, ERC Project PhiloQuantumGravity)–
from the Marie Curie Intra-European Fellowship –(BOHRREC FP7-PEOPLE-2013-IEF Grant Agreement
N° 624339)–
and from the Research Unit SPHERE, UMR 7219 (CNRS, Universities Paris 7-Diderot and Paris 1 Pantheon-Sorbonne).

University Paris Diderot, Room Luc Valentin, 454A (4th floor),
Condorcet building, 4, rue Elsa Morante, 75013 Paris

More details are available on the SPHERE website here.

Workshop “On the Notion of Identification in Physics and Mathematics”

Workshop “On the Notion of Identification in Physics and Mathematics”

November 13rd, 2014 – University Paris Diderot

Speakers:
Mathieu Anel, David Corfield, Eric Finster, Urs Schreiber

Program:

9:30 – 11:00 : M. Anel, Ambiguity in Mathematics.
11:15 – 12:45 : E. Finster, A Survey of Univalent Foundations.
14:30 – 16:00 : U. Schreiber, The Gauge Principle and Local Quantum Field Theory.
16:15 – 17:45 : D. Corfield, Cohesive Homotopy Type Theory: An opportunity to revive the philosophy of geometry?

Organizers: 
Gabriel Catren and Mathieu Anel

This workshop has received funding from the European Research Council under the European Community’s Seventh Framework Programme (FP7/2007-2013 Grant Agreement N° 263523, ERC Project PhiloQuantumGravity).

Condorcet building, Amphithéâtre Pierre-Gilles de Gennes (basement),
10, rue Alice Domon et Léonie Duquet, 75013 Paris

More details are available on the SPHERE website here.

Workshop “Philosophy of Mechanics: Mathematical Foundations”

Workshop “Philosophy of Mechanics: Mathematical Foundations”

February 12-14, 2014 – University Paris Diderot

The aim of the workshop is to explore new answers to old questions concerning the foundations of both classical and quantum mechanics. To do so, we shall consider mechanics in the light of mathematical formalisms that for the moment have not yet played a major role in the debates concerning its conceptual foundations, such as for instance symplectic and Poisson geometry, noncommutative geometry, quantum groups, cohomological methods, C*-algebras, geometric quantization, and topos theory.

Speakers:

Mathieu Anel, Gordon Belot, Daniel Bennequin, Jeremy Butterfield, Gabriel Catren, John Alexander Cruz Morales, Andreas Doering, Frédéric Hélein, Chris Heunen, Joseph Kouneiher, Klaas Landsman, Shahn Majid, Charles-Michel Marle, Thierry Masson, Julien Page, Urs Schreiber

Organizing Committee: 
Gabriel Catren, Jean-Jacques Szczeciniarz, Julien Page, Dimitri Vey, Christine Cachot, Federico Zalamea.

in the context of the
ERC project Philosophy of Canonical Quantum Gravity
Laboratoire SPHERE – Sciences, Histoire, Philosophie (UMR 7219, Université Paris Diderot – CNRS)

Condorcet building, Amphitheater Pierre Gilles de Gennes
10 rue Alice Domon et Léonie Duquet, 75013 Paris

More details are available on the official workshop website here.