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SUMMARY:Non-linear Sylow branching coefficients for the symmetric group - 
 Giada Volpato
DTSTART:20211103T163000Z
DTEND:20211103T173000Z
UID:TALK165040@talks.cam.ac.uk
CONTACT:Stacey Law
DESCRIPTION:In view of the relevance of the McKay Conjecture in the repres
 entation theory\nof finite groups\, it is of common interest to investigat
 e how irreducible characters\ndecompose when restricted to Sylow p-subgrou
 ps.\nIn this talk I will focus attention on the symmetric groups and my fi
 rst step will be\nto briefly mention the combinatorial theory needed for t
 he study of the irreducible\ncharacters of Sn. Linear constituents of thei
 r restriction to the Sylow p-subgroup Pn\nhave already been studied and so
  I will present some results\nconcerning constituents of higher degree. In
  particular I will give the description of\nthe set of irreducible charact
 ers that have a constituent of a given fixed degree in their\nrestriction 
 to Pn.\nThis is recent joint work with Eugenio Giannelli.
LOCATION:MR12
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