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SUMMARY:Introduction to E_n-operads and little discs operads (mini-course)
  - Fresse\, B (Universit Lille 1)
DTSTART:20130305T140000Z
DTEND:20130305T151500Z
UID:TALK43816@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The little n-discs operads\, where n = 1\,2\,...\,infinity\, a
 re used to define a hierarchy of homotopy commutative structures\, from fu
 lly associative but non-commutative (n=1) up to fully associative and comm
 utative (n=infinity).\n\nIn the construction of such homotopy commutative 
 structures\, we generally have to deal with operads which are just weakly-
 equivalent to the little n-discs\, and the name of an E_n-operad has been 
 introduced to refer to this notion. In this first lecture\, I will give an
  introduction to E_n-operads and their applications. I will notably report
  on the following significant issues: formality\, Koszul duality\, and rec
 ognition theorems.\n\nGeneral reference:B. Fresse\, "Homotopy of operads a
 nd Grothendieck-Teichmller Groups".  Book project. First volume available 
 on the web-page  "http://math.univ-lille1.fr/%7Efresse/OperadGT-December20
 12Preprint.pdf"\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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