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SUMMARY:Determination of characters of the symmetric and alternating group
 s - Eoghan McDowell  (Okinawa)
DTSTART:20230517T153000Z
DTEND:20230517T163000Z
UID:TALK199456@talks.cam.ac.uk
CONTACT:Stacey Law
DESCRIPTION:How much information about an ordinary irreducible character d
 etermines the character? I will discuss this question for the symmetric an
 d alternating groups\, with a focus on two interpretations of 'information
 ': the values on p'-classes\, and the zero values. Interest in the zeros o
 f a character date back to Burnside\, while our question in the case of va
 lues on p'-classes also tells us about the modular representation theory o
 f the group: characters agreeing on p'-classes corresponds to equal rows i
 n the decomposition matrix. In the case of the alternating group\, I will 
 highlight an apparent connection between these two determination problems 
 that is the subject on ongoing work.
LOCATION:MR12
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