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PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
M3//EN
VERSION:2.0
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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20220214T132152Z
DTSTART:20220215T130000Z
DTEND:20220215T140000Z
SUMMARY:Manchester Algebra Seminar - Diego Berdasco
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}h15s-kz73ys
m9-km6a2a
DESCRIPTION:Speaker: Diego Berdasco - Queen Mary University\n\nTitle: Fr
om infinitely many to just a handful: representations of symmetric\ngrou
ps.\n\nAbstract: One of the most important open problem in the represent
ation\ntheory of the symmetric group in positive characteristic p is fin
ding the decomposition numbers\; i.e.\, the multiplicity of the simple m
odules as composition factors of the Specht modules (the p-modular reduc
tions of the irreducible complex representations). The weight associated
to a Specht module is a good measure of the complexity of its represent
ation theory\, and not much is known for modules of weight greater than
3. We will survey briefly the rich interplay between representation theo
ry and combinatorics of integer partitions\, combining several important
results in the literature on decomposition numbers that allow us to red
uce the Specht modules of a given weight to be studied to a finite subse
t. We discuss then the fruitfulness of this technique in the study of re
presentations of weights 3 and 4. \n\nPlace: Frank Adams (and to be stre
amed online*)\n\n*subject to equipment and connection\n\nTea and biscuit
s 12:45 in the foyer
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams\, Alan Turing Building\, Manchester
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