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SUMMARY:The three graces in the Tits--Kantor--Koecher category
DTSTART:20231012T083000Z
DTEND:20231012T103000Z
DTSTAMP:20260506T083800Z
UID:indico-event-10540@indico.math.cnrs.fr
DESCRIPTION:Speakers: Vladimir Dotsenko\n\nI shall report on a joint proje
 ct with Iryna Kashuba\, where we study commutative\, associative\, and Lie
  algebras in a category which is not symmetric monoidal (so that the corre
 sponding categories of algebras are not categories of algebras over operad
 s)\; we refer to that category as the Tits--Kantor--Koecher category since
  it essentially emerged in the works of these authors relating various que
 stions on Jordan algebras to Lie theory. Recently\, Iryna Kashuba and Oliv
 ier Mathieu formulated a conjecture about homology of free Lie algebras in
  that category\, which\, if true\, would lead to a beautiful formula for d
 imensions of components of free Jordan algebras. Our work\, originally mot
 ivated by that conjecture\, does not resolve it\, but unravels several som
 ewhat surprising results that I shall present. \n\nhttps://indico.math.cn
 rs.fr/event/10540/
LOCATION:Pellos
URL:https://indico.math.cnrs.fr/event/10540/
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