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SUMMARY:Approximating Taylor towers with mapping spaces
DTSTART:20121214T141500
DTEND:20121214T153000
DTSTAMP:20260406T171956Z
UID:d4da9d7544768e130e814fea7b24effc4494ad176b9d5e33ae8aa9cb
CATEGORIES:Conferences - Seminars
DESCRIPTION:Greg Arone (Virginia)\nLet F be a topological functor. The seq
 uence of derivatives of F forms a module over a certain operad (the operad
  depends on the domain and target of F). If one  tries to recover F from 
 the module structure on the derivatives\, one obtains a certain "best poss
 ible" approximation to F in terms of mapping spaces between operad modules
 . In some cases\, the approximation coincides with the Taylor tower of F. 
 Even when it doesn't\, the approximation is interesting in its own right. 
 The difference between our approximation and the Taylor tower is measured 
 by the Tate homology of the derivatives of F. As one consequence\, we obta
 in an amusing new perspective on classical rational homotopy theory. The t
 alk is based on joint work with Michael Ching.
LOCATION:MA 10
STATUS:CONFIRMED
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