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SUMMARY:Cameron Cinel (UCSD)
DTSTART:20220322T140000Z
DTEND:20220322T160000Z
DTSTAMP:20260423T041009Z
UID:WienGAGT/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/11/
 ">Sofic Lie Algebras</a>\nby Cameron Cinel (UCSD) as part of Vienna Geomet
 ry and Analysis on Groups Seminar\n\n\nAbstract\nWe introduce a notion of 
 soficity for Lie algebras\, similar to linear soficity for groups and asso
 ciative algebras. Sofic Lie algebras can be thought of as Lie algebras tha
 t locally are almost embeddable in \\(\\mathfrak{gl}_n(F)\\) for some \\(n
 \\). We provide equivalent characterizations for soficity via metric ultra
 products and local \\(\\varepsilon\\)-almost representations. We show that
  Lie algebras of subexponential growth are sofic and give explicit familie
 s of almost representations for specific Lie algebras. Finally we show tha
 t\, over fields of characteristic 0\, a Lie algebra is sofic if and only i
 f its universal enveloping algebra is linearly sofic.\n\n \n\n \n\nJoin Zo
 om meeting ID 641 2123 2568 or via the link below. Passcode: A group is ca
 lled an ________ group if it admits an invariant mean. (8 letters\, lowerc
 ase)\n
LOCATION:https://researchseminars.org/talk/WienGAGT/11/
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