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SUMMARY:Some exotic tensor categories in prime characteristic. - David Ben
 son (Aberdeen)
DTSTART:20200219T163000Z
DTEND:20200219T173000Z
UID:TALK138544@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:This talk is about joint work with Pavel Etingof and Victor Os
 trik. A\ntheorem of Deligne says that in characteristic zero\, any symmetr
 ic tensor\ncategory "of moderate growth" admits a tensor functor to vector
  spaces or to\nsuper (i.e.\,\nZ/2-graded) vector spaces. In prime characte
 ristic\, this is not true\, but\none may ask whether there is a good list 
 of "incompressible" symmetric\ntensor categories to which they they do all
  map. We construct an infinite\nascending chain of finite symmetric tensor
  categories in characteristic p\,\nall of which are incompressible. The co
 nstructions are based on the theory\nof tilting modules over the algebraic
  group SL(2). It is possible that this\nis the complete list\, but we have
  not proved that.\n
LOCATION:MR12
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