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SUMMARY:Divergence and super-divergence cocycles on the Grothendieck-Teich
 mueller Lie algebra - Alekseev\, A (Universit de Genve)
DTSTART:20130408T083000Z
DTEND:20130408T093000Z
UID:TALK44462@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The Grothendieck-Teichmueller Lie algebra grt can be viewed as
  a Lie subalgebra of derivations of the free Lie algebra in two generators
 .  We use this observation to define two cocycles: the divergence cocycle 
 on grt and the super-divergence cocycle on its even part. The divergence c
 ocycle serves to define the Kashiwara-Vergne Lie algebra which is conjectu
 rally isomorphic to grt. The super-divergence cocycle plays a role in the 
 Rouviere's theory of symmetric spaces\, and it is conjectured to be an inj
 ective map on the even part of grt.\n
LOCATION:Seminar Room 1\, Newton Institute
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