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SUMMARY:Andrew Mathas (University of Sydney)
DTSTART:20220810T060000Z
DTEND:20220810T070000Z
DTSTAMP:20260423T035918Z
UID:OISTRTS/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/35/"
 >Content systems and KLR algebras</a>\nby Andrew Mathas (University of Syd
 ney) as part of OIST representation theory seminar\n\n\nAbstract\nIn 1901 
 Young gave an explicit construction of the ordinary irreducible representa
 tions of the symmetric groups. In doing this\, he introduced content funct
 ions for partitions\, which are now a key statistic in the semisimple repr
 esentation theory of the symmetric groups. In this talk I will describe a 
 generalisation of Young's ideas to the cyclotomic KLR algebras of affine t
 ypes A and C. This is quite surprising because Young's seminormal forms ar
 e creatures from the semisimple world whereas the cyclotomic KLR algebras 
 are rarely semisimple. As an application\, we show that these algebras are
  cellular and construct their irreducible representations. A special case 
 of these results gives new information about the symmetric groups in chara
 cteristic p>0. If time permits\, I will describe how these results lead to
  an explicit categorification of the corresponding integrable highest weig
 ht modules.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/35/
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