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SUMMARY:The Boardman-Vogt resolution and algebras up-to-homotopy - Moerdij
 k\, I (RadboudUniversiteit Nijmegen)
DTSTART:20130109T153000Z
DTEND:20130109T163000Z
UID:TALK42342@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In this lecture\, we will present some basic properties and co
 nstructions of topological operads and their algebras. For an operad P\, t
 he property of having a P-algebra structure is in general not invariant un
 der homotopy: a space which is homotopy equivalent to one carrying a P-alg
 ebra structure only has a "P-algebra structure up-to-homotopy". We will ad
 dress the questions whether these P-algebra structures up-to-homotopy can 
 be controlled by another operad\, and whether they can be "strictified" to
  true P-algebra structures. Much of this goes back to Boardman and Vogt's 
 book "Homotopy Invariant Algebraic Structures"\, but can efficiently be ca
 st in the language of Quillen model \ncategories.\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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