Topos à l'IHES
Salle de Conférences Marilyn et James Simons
Le Bois-Marie
The concept of topos was introduced by A. Grothendieck during his Séminaire de Géométrie Algébrique du Bois-Marie, which took place at the IHES in the early sixties. The original motivation was that of defining a general notion of space on which one could define cohomological invariants in the algebro-geometric setting needed for proving the Weil's conjectures. In spite of this quite specific technical motivation, the notion of topos appeared at the very beginning as defining a new conception of space, capable of unifying the continuous and the discrete in an harmonious marriage: in the words of Grothendieck "Un lit si vaste en effet (telle une vaste et paisible rivière très profonde...), que “tous les chevaux du roi y pourraient boire ensemble...". "
In the following years, new perspectives on the notion on topos emerged. According to Lawvere and Tierney, a topos can be considered not only as a generalized space but as a mathematical universe within which one can carry out most familiar set-theoretic constructions, but which also, thanks to the inherent ‘flexibility' of the notion of topos, can be profitably exploited to construct 'new mathematical worlds' having particular properties. On the other hand, the theory of classifying toposes allows to regard a Grothendieck topos as a suitable kind of first-order theory modulo Morita-equivalence. Toposes have also been proved effective in studying dualities and establishing ‘bridges’ across different mathematical theories with a related semantic content.
The conference aims to illustrate the fruitfulness and wide-ranging impact of the notion of topos, by featuring presentations on new theoretical advances in the subject (including the theory of higher toposes) as well as on applications of toposes in different fields such as number theory, algebraic geometry, logic, functional analysis, topology, mathematical physics and computer science. The conference is preceded by a two-day introductory mini-course for the benefit of students and mathematicians who are not already familiar with topos theory.
Scientific committee : O. CARAMELLO*, P. CARTIER, A. CONNES, S. DUGOWSON, A. KHELIF
23-24 November : Tutorials by: Olivia CARAMELLO and André JOYAL
25-27 November : Invited speakers :
Mathieu ANEL (University Paris-Diderot)
Luca BARBIERI-VIALE (Università degli Studi di Milano)
Jean BÉNABOU (University Paris 13)
Caterina CONSANI (Johns Hopkins University, Baltimore)
Thierry COQUAND (University of Göteborg)
Simon HENRY (Radboud University, Nijmegen)
André JOYAL (Université du Quebec, Montréal)
Mike PREST (University of Manchester)
Urs SCHREIBER (Eduard Čech Institute for Algebra, Geometry and Physics, Prague)
Carlos SIMPSON (University of Nice-Sophia-Antipolis)
Michel VAQUIÉ (University Paul Sabatier, Toulouse)
25 & 27 November: Short Communications Speakers
Ingo BLECHSCHMIDT (University of Augsburg)
Matias DATA (Universidad de Buenos Aires)
Jonas FREY (Copenhagen University)
Camell KACHOUR
Guilherme Frederico LIMA de CARVALHO e SILVA (University of Cambridge)
Pietro POLESELLO (Universita di Padova)
David ROBERTS (University of Adelaide)
Anna Carla RUSSO (University of Salerno & Université Paris-Diderot)
Alex SIMPSON (University of Ljubljana)
Zoran SKODA (University of Hradec Kralové)
Christopher TOWNSEND (Royal Bank of Canada)
* holder of a fellowship "L'Oréal-Unesco for Women in Science" which supports the conference
The non-official website of the conference (maintained by S. Dugowson)
contains further materials provided by the speakers
in connection with their talks and edited versions of the videos of the tutorials.
Alain Connes
Alex Simpson
Alexander Gietelink Oldenziel
Ambroise Peugeot
Anatole Khelif
Andrea Gagna
Andrew Polonsky
André Joyal
Angel Israel Toledo
Anna Carla Russo
Anthony Bordg
Armajac Raventós i Pujol
Aurélien SAGNIER
Bruno Blind
Bruno Stonek
Bruno Vallette
Camell Kachour
Carlos Simpson
Carolina Rivera Arredondo
Caterina Consani
Charles ALUNNI
Christopher Townsend
CYRIL POREE
Cyrus Cohier-Chevaux
Céline Loozen
Daniel Luckhardt
Danko Ilik
David Gepner
David Rabouin
David Roberts
Diana Catalina Ossa Orozco
Dimitris Scarpalezos
Domenico Ruoppolo
elisabeth vaugelade
Fabio Pasquali
Fabrizio Anella
Federico Zalamea
Francesco Meazzini
Frank Taipe
Frédéric Crozatier
Gabriel Catren
Georg Lehner
Guilherme Frederico Lima de Carvalho e Silva
henri lombardi
himanee arjunwadkar
Hugh Steele
Ingo Blechschmidt
Isar Stubbe
Jacqueline Zizi
Jean Benabou
Jean Petitot
Jean-Jacques szczeciniarz
Jeffrey Egger
Jonas Frey
Joost van Dijk
Juan-Pablo Vigneaux
Julien Page
Jun Maillard
Kenji Maillard
Laurence Honnorat
Laurent Lafforgue
Laurent Tsang
Luca Barbieri-Viale
Lucile Regourd
Lucius Schoenbaum
Luigi Lunardon
Marco Robalo
Marie Bjerrum
Mathieu Anel
Matias Data
Mauro Mantegazza
Maxim Kontsevich
Mehdi Zaidi
Michael Heather
Michael Lambert
Michael Wright
Michel Hilsum
Michel Lapidus
Michel Vaquié
Mijail Guillemard
Mikaël Monchicourt
Mike Prest
Ngo Quoc Hoan
Nicolás Canevali
Nicolás Ramírez Díaz
Ofer Gabber
Olivia Caramello
Omar Mohsen
Pablo Sanchez Ocal
Paul LESCOT
Paula Verdugo
Pierre Cagne
Pierre Cartier
Pierre Schapira
Pietro Polesello
Pol van Hoften
Rafaël Bocquet
Rehan MALAK
Robert Olivares
Samir Bouslamti
Sandra Mantovani
Serge Bouc
Shai Haran
Simon Henry
Snorre Harald Christiansen
Stefan Neuwirth
Stefano Guerrini
Stéphane Bailly
Stéphane Dugowson
Thierry Coquand
Urs Schreiber
Vincent Picouet
Yuri Sulyma
Zoran Skoda