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SUMMARY:Geoffrey Powell (University of Angers\, France)
DTSTART:20260921T150000Z
DTEND:20260921T160000Z
DTSTAMP:20260914T071056Z
UID:ENAAS/176
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/176/">
 Graph complexes via Brauer categories and Koszul complexes</a>\nby Geoffre
 y Powell (University of Angers\, France) as part of European Non-Associati
 ve Algebra Seminar\n\nInteractive livestream: https://us02web.zoom.us/j/78
 03181064\n\nAbstract\nIn this talk I will explain new perspectives on the 
 graph complexes associated to a cyclic operad by using modules over twiste
 d k-linearizations of the appropriate Brauer category. This leads to two i
 nteresting Koszul complexes\, one corresponding to the (hairy) graph compl
 ex. The second complex is a precursor of the Chevalley-Eilenberg complex o
 f the family of Lie algebras associated to a cyclic operad by Kontsevich\,
  as developed by Conant-Vogtmann. The relationship between these complexes
  reflects the stabilization\, as interpreted using methods of Sam and Snow
 den\, governed by the twisted Brauer category. There is an analogous story
  for operads\, related to recent work of Dotsenko starting from derivation
 s of free algebras over the operad\; this uses walled Brauer categories.\n
LOCATION:https://researchseminars.org/talk/ENAAS/176/
URL:https://us02web.zoom.us/j/7803181064
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