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SUMMARY:Eoghan McDowell (OIST)
DTSTART:20240416T060000Z
DTEND:20240416T070000Z
DTSTAMP:20260423T053131Z
UID:OISTRTS/58
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/58/"
 >Spin representations of the symmetric group which reduce modulo 2 to Spec
 ht modules</a>\nby Eoghan McDowell (OIST) as part of OIST representation t
 heory seminar\n\n\nAbstract\nWhen do two ordinary irreducible representati
 ons of a group have the same p-modular reduction? In this talk I will addr
 ess this question for the double cover of the symmetric group\, and more g
 enerally give a necessary and sufficient condition for a spin representati
 on of the symmetric group to reduce modulo 2 to a multiple of a Specht mod
 ule (in the sense of Brauer characters or in the Grothendieck group). I wi
 ll explain some of the techniques used in the proof\, including describing
  a function which swaps adjacent runners in an abacus display for the labe
 lling partition of a character. This is joint work with Matthew Fayers.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/58/
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