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SUMMARY:Spin representations of symmetric groups in characteristic 2 - Mat
 thew Fayers\, Queen Mary University of London
DTSTART:20240131T163000Z
DTEND:20240131T173000Z
UID:TALK210847@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:Let G be a finite group and p a prime.  Then there is a well-d
 efined (at the level of characters) process of p-modular reduction for rep
 resentations of G.  It sometimes happens that two different ordinary irred
 ucible characters can become the same when reduced modulo p\, and it is in
 teresting to determine exactly when this happens.  For example\, if G is t
 he symmetric group\, and two ordinary irreducibles are obtained from each 
 other by tensoring with the sign representation\, then their reductions mo
 dulo 2 will be the same.\n\nIn this talk we consider this problem for the 
 double covers of the symmetric groups in characteristic 2\; in fact\, we s
 olve the more general problem of when the 2-modular reductions of two char
 acters are proportional to each other.  I will give the result\, and expla
 in some of the techniques used to prove it.
LOCATION:MR12
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