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SUMMARY:Pavel Etingof (MIT)
DTSTART:20201116T160000Z
DTEND:20201116T165000Z
DTSTAMP:20260419T112030Z
UID:icra2020/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/icra2020/9/"
 >Symmetric tensor categories II</a>\nby Pavel Etingof (MIT) as part of ICR
 A 2020\n\n\nAbstract\nLecture 2: Representation theory in non-integral ran
 k.\n\nExamples of symmetric tensor categories over complex numbers which a
 re not representation categories of supergroups were given by Deligne-Miln
 e in 1981. These very interesting categories are interpolations of represe
 ntation categories of classical groups GL(n) \, O(n) \, Sp(n) to arbitrary
  complex values of n . Deligne later generalized them to symmetric groups 
 and also to characteristic p \, where\, somewhat unexpectedly\, one needs 
 to interpolate n to p -adic integer values rather than elements of the gro
 und field. I will review some of the recent results on these categories an
 d discuss algebra and representation theory in them.\n
LOCATION:https://researchseminars.org/talk/icra2020/9/
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