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SUMMARY:Aaron Yi Rui Low (National University of Singapore)
DTSTART:20210302T073000Z
DTEND:20210302T083000Z
DTSTAMP:20260423T021223Z
UID:OISTRTS/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/11/"
 >Adjustment matrices</a>\nby Aaron Yi Rui Low (National University of Sing
 apore) as part of OIST representation theory seminar\n\n\nAbstract\nJames'
 s Conjecture predicts that the adjustment matrix for weight $w$ blocks of 
 the Iwahori-Hecke algebras $\\mathcal{H}_{n}$ and the $q$-Schur algebras $
 \\mathcal{S}_{n}$ is the identity matrix when $w<\\textnormal{char}(\\math
 bb{F})$. Fayers has proved James's Conjecture for blocks of $\\mathcal{H}_
 {n}$ of weights 3 and 4. We shall discuss some results on adjustment matri
 ces that have been used to prove James's Conjecture for blocks of $\\mathc
 al{S}_{n}$ of weights 3 and 4 in an upcoming paper. If time permits\, we w
 ill look at a proof of the weight 3 case.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/11/
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