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SUMMARY:Topos à l'IHES
DTSTART;VALUE=DATE-TIME:20151123T073000Z
DTEND;VALUE=DATE-TIME:20151127T183000Z
DTSTAMP;VALUE=DATE-TIME:20190118T011251Z
UID:indico-event-747@indico.math.cnrs.fr
DESCRIPTION: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 def
ining a general notion of space on which one could define cohomological in
variants in the algebro-geometric setting needed for proving the Weil's co
njectures. In spite of this quite specific technical motivation\, the noti
on of topos appeared at the very beginning as defining a new conception of
space\, capable of unifying the continuous and the discrete in an harmoni
ous marriage: in the words of Grothendieck "Un lit si vaste en effet (tell
e une vaste et paisible rivière très profonde...)\, que “tous les chev
aux du roi y pourraient boire ensemble...". "\n \nIn the following years\
, new perspectives on the notion on topos emerged. According to Lawvere an
d 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 se
t-theoretic constructions\, but which also\, thanks to the inherent ‘fle
xibility' of the notion of topos\, can be profitably exploited to construc
t 'new mathematical worlds' having particular properties. On the other han
d\, the theory of classifying toposes allows to regard a Grothendieck topo
s as a suitable kind of first-order theory modulo Morita-equivalence. Topo
ses have also been proved effective in studying dualities and establishing
‘bridges’ across different mathematical theories with a related seman
tic content. \n \nThe conference aims to illustrate the fruitfulness a
nd wide-ranging impact of the notion of topos\, by featuring presentations
on new theoretical advances in the subject (including the theory of highe
r toposes) as well as on applications of toposes in different fields such
as number theory\, algebraic geometry\, logic\, functional analysis\, topo
logy\, mathematical physics and computer science. The conference is preced
ed by a two-day introductory mini-course for the benefit of students and m
athematicians who are not already familiar with topos theory.\n\nScientifi
c committee : O. CARAMELLO*\, P. CARTIER\, A. CONNES\, S. DUGOWSON\, A. K
HELIF\n\n23-24 November : Tutorials by: Olivia CARAMELLO and André JOYAL
\n\n25-27 November : Invited speakers :\n\nMathieu ANEL (University Paris-
Diderot)\nLuca BARBIERI-VIALE (Università degli Studi di Milano)\nJean B
ÉNABOU (University Paris 13)\nCaterina CONSANI (Johns Hopkins University\
, Baltimore)\nThierry COQUAND (University of Göteborg)\nSimon HENRY (Radb
oud University\, Nijmegen)\nAndré JOYAL (Université du Quebec\, Montréa
l)\nMike PREST (University of Manchester)\nUrs SCHREIBER (Eduard Čech Ins
titute for Algebra\, Geometry and Physics\, Prague)\nCarlos SIMPSON (Unive
rsity of Nice-Sophia-Antipolis) \nMichel VAQUIÉ (University Paul Sabatie
r\, Toulouse)\n\n25 & 27 November: Short Communications Speakers\n\nIngo B
LECHSCHMIDT (University of Augsburg)\nMatias DATA (Universidad de Buenos A
ires)\nJonas FREY (Copenhagen University)\nCamell KACHOUR\nGuilherme Frede
rico LIMA de CARVALHO e SILVA (University of Cambridge)\nPietro POLESELLO
(Universita di Padova)\nDavid ROBERTS (University of Adelaide)\nAnna Carla
RUSSO (University of Salerno & Université Paris-Diderot)\nAlex SIMPSON (
University of Ljubljana)\nZoran SKODA (University of Hradec Kralové)\nC
hristopher TOWNSEND (Royal Bank of Canada)\n\n* holder of a fellowship "L'
Oréal-Unesco for Women in Science" which supports the conference\n \n\n\
nThe non-official website of the conference (maintained by S. Dugowso
n)\ncontains further materials provided by the speakers\nin connection w
ith their talks and edited versions of the videos of the tutorials. \n\n\n
\n\nhttps://indico.math.cnrs.fr/event/747/
LOCATION:Le Bois-Marie Salle de Conférences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/747/
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