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.
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)
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).