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SUMMARY:Vladimir Chernousov
DTSTART:20210809T142000Z
DTEND:20210809T145000Z
DTSTAMP:20260417T010000Z
UID:MSR80/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MSR80/5/">On
  conjugacy of Cartan subalgebras in extended affine Lie algebras and class
 ification of torsors over Laurent polynomial rings</a>\nby Vladimir Cherno
 usov as part of International Conference on Discrete groups\, Geometry and
  Arithmetic\n\n\nAbstract\nThe conjugacy of split Cartan subalgebras in th
 e finite-dimensional simple Lie algebras\n(Chevalley theorem) and in the s
 ymmetrizable Kac-Moody Lie algebras (Peterson-Kac theorem) are\nfundamenta
 l results of the theory of Lie algebras. In this talk we will discuss how 
 the problem of\nconjugacy for a class of Lie algebras called extended affi
 ne Lie algebras (that are in a precise sense\nhigher nullity analogues of 
 the affine Kac-Moody Lie algebras) interwind with the classification of\nt
 orsors of reductive group schemes over Laurent polynomial rings.\n
LOCATION:https://researchseminars.org/talk/MSR80/5/
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