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SUMMARY:A theorem of Kontsevich on graph complexes and some applications i
 n topology - Nils Prigge (DPMMS)
DTSTART:20170505T140000Z
DTEND:20170505T150000Z
UID:TALK71698@talks.cam.ac.uk
CONTACT:36916
DESCRIPTION:There are several interesting results in somewhat different as
 pects of algebraic topology that involve chain complexes that are defined 
 via graphs and certain graph operations. For example\, Watanabe produced n
 on-trivial elements in the rational homotopy groups of Diff(Dₙ) beyond t
 he known stable range\, and Berglund and Madsen showed that they appear in
  the stable cohomology of certain moduli spaces. A good interpretation of 
 the emergence of these graph complexes is via (cyclic) operads. I want to 
 discuss this definition and some of the results by Kontsevich on their hom
 ology that relate them to some problems in topology.
LOCATION:MR13
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