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SUMMARY:Ioannis Dokas (National and Kapodistrian University of Athens\, Gr
 eece)
DTSTART:20240722T150000Z
DTEND:20240722T160000Z
DTSTAMP:20260423T052500Z
UID:ENAAS/81
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/81/">O
 n Quillen-Barr-Beck cohomology for restricted Lie algebras</a>\nby Ioannis
  Dokas (National and Kapodistrian University of Athens\, Greece) as part o
 f European Non-Associative Algebra Seminar\n\n\nAbstract\nIn this talk we 
 define and study Quillen-Barr-Beck cohomology for the category of restrict
 ed Lie algebras. We prove that the first Quillen-Barr-Beck’s cohomology 
 classifies general abelian extensions of restricted Lie algebras. Moreover
 \, using Duskin-Glenn’s torsors cohomology theory\, we prove a classific
 ation theorem for the second Quillen-Barr-Beck cohomology group in terms o
 f 2-fold extensions of restricted Lie algebras. Finally\, we give an inter
 pretation of Cegarra-Aznar’s exact sequence for torsor cohomology.\n
LOCATION:https://researchseminars.org/talk/ENAAS/81/
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