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SUMMARY:The rational homotopy theory of spaces (mini-course) - Fresse\, B 
 (Universit Lille 1)
DTSTART:20130312T140000Z
DTEND:20130312T151500Z
UID:TALK43894@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The rational homotopy theory of spaces is the study of topolog
 ical  spaces modulo torsion. The rational homotopy of a space is determine
 d  by two dual algebraic models: the Sullivan model\, defined by a  commut
 ative dg-algebra structure\, and the Quillen model\, defined by a  Lie dg-
 algebra.\n\nFurthermore\, each space has a minimal Sullivan model\, which 
 can be used to prove that the rational homotopy automorphisms of a space f
 orm an algebraic group\, with a deformation complex of the Sullivan model 
 as Lie algebra. The purpose of this lecture is to provide a survey of thes
 e results\, after short recollections on the definition of the Sullivan mo
 del of a space.\n\nGeneral reference:  B. Fresse\, "Homotopy of operads an
 d Grothendieck-Teichmller Groups".  Book project. First volume available o
 n the web-page  "http://math.univ-lille1.fr/%7Efresse/OperadGT-December201
 2Preprint.pdf"\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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