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SUMMARY:Eoghan McDowell (Royal Holloway\, University of London)
DTSTART:20201013T073000Z
DTEND:20201013T083000Z
DTSTAMP:20260423T035754Z
UID:OISTRTS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/3/">
 The image of the Specht module under the inverse Schur functor</a>\nby Eog
 han McDowell (Royal Holloway\, University of London) as part of OIST repre
 sentation theory seminar\n\n\nAbstract\nThe Schur functor and its inverses
  give an important connection between the representation theories of the s
 ymmetric group and the general linear group. Kleshchev and Nakano proved i
 n 2001 that when the characteristic of the field is at least 5\, the image
  of the Specht module under the inverse Schur functor is isomorphic to the
  dual Weyl module. In this talk I will address what happens in characteris
 tics 2 and 3: in characteristic 3\, the isomorphism holds\, and I will giv
 e an elementary proof of this fact which covers also all characteristics o
 ther than 2\; in characteristic 2\, the isomorphism does not hold for all 
 Specht modules\, and I will classify those for which it does. Our approach
  is with Young tableaux\, tabloids and Garnir relations.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/3/
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