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SUMMARY:Stacey Law (University of Cambridge)
DTSTART:20210413T073000Z
DTEND:20210413T083000Z
DTSTAMP:20260423T021224Z
UID:OISTRTS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/16/"
 >Sylow branching coefficients and a conjecture of Malle and Navarro</a>\nb
 y Stacey Law (University of Cambridge) as part of OIST representation theo
 ry seminar\n\n\nAbstract\nThe relationship between the representation theo
 ry of a finite group and that of its Sylow subgroups is a key area of inte
 rest. For example\, recent results of Malle–Navarro and Navarro–Tiep
 –Vallejo have shown that important structural properties of a finite gro
 up \\(G\\) are controlled by the permutation character \\(\\mathbb{1}_P\\b
 ig\\uparrow^G\\)\, where \\(P\\) is a Sylow subgroup of \\(G\\) and \\(\\m
 athbb{1}_P\\) denotes the trivial character of \\(P\\). We introduce so-ca
 lled Sylow branching coefficients for symmetric groups to describe multipl
 icities associated with these induced characters\, and as an application c
 onfirm a prediction of Malle and Navarro from 2012\, in joint work with E.
  Giannelli\, J. Long and C. Vallejo.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/16/
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