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CATEGORIES:Algebra and Representation Theory Seminar
SUMMARY:Non-linear Sylow branching coefficients for the sy
mmetric group - Giada Volpato
DTSTART;TZID=Europe/London:20211103T163000
DTEND;TZID=Europe/London:20211103T173000
UID:TALK165040AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/165040
DESCRIPTION:In view of the relevance of the McKay Conjecture i
n the representation theory\nof finite groups\, it
is of common interest to investigate how irreduci
ble characters\ndecompose when restricted to Sylow
p-subgroups.\nIn this talk I will focus attention
on the symmetric groups and my first step will be
\nto briefly mention the combinatorial theory need
ed for the study of the irreducible\ncharacters of
Sn. Linear constituents of their restriction to t
he Sylow p-subgroup Pn\nhave already been studied
and so I will present some results\nconcerning con
stituents of higher degree. In particular I will g
ive the description of\nthe set of irreducible cha
racters that have a constituent of a given fixed d
egree in their\nrestriction to Pn.\nThis is recent
joint work with Eugenio Giannelli.
LOCATION:MR12
CONTACT:Stacey Law
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