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SUMMARY:Aparna Upadhyay (Univ. of Arizona)
DTSTART:20211019T210000Z
DTEND:20211019T220000Z
DTSTAMP:20260423T005851Z
UID:UAANTS/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/29/">
 The non-projective part of modular representations of finite groups</a>\nb
 y Aparna Upadhyay (Univ. of Arizona) as part of University of Arizona Alge
 bra and Number Theory Seminar\n\n\nAbstract\nIn a recent paper\, Dave Bens
 on and Peter Symonds introduced a new invariant for modular representation
 s of a finite group. This invariant is a result of studying the asymptotic
 s of the direct sum decomposition of the non-projective part of tensor pow
 ers of a finite dimensional representation of a finite group in prime char
 acteristic. In this talk\, we will see some interesting properties of this
  invariant. We will obtain a closed formula for computing the invariant fo
 r a family of modules of the symmetric group and for trivial source module
 s of a finite group. Benson and Symonds conjectured that the growth of the
  non-projective part of tensor powers of a module is linear recursive. We 
 will also see some results towards this conjecture.\n
LOCATION:https://researchseminars.org/talk/UAANTS/29/
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