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SUMMARY:Alexander Yong (University of Illinois at Urbana-Champaign)
DTSTART:20231128T003000Z
DTEND:20231128T013000Z
DTSTAMP:20260423T021236Z
UID:OISTRTS/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/52/"
 >Newell-Littlewood numbers</a>\nby Alexander Yong (University of Illinois 
 at Urbana-Champaign) as part of OIST representation theory seminar\n\n\nAb
 stract\nThe Newell-Littlewood numbers are defined in terms of the Littlewo
 od-Richardson coefficients from algebraic combinatorics. Both appear in re
 presentation theory as tensor product multiplicities for a classical Lie g
 roup. This talk concerns the question: Which multiplicities are nonzero? I
 n 1998\, Klyachko established common linear inequalities defining both the
  eigencone for sums of Hermitian matrices and the saturated Littlewood-Ric
 hardson cone. We prove some analogues of Klyachko's nonvanishing results f
 or the Newell-Littlewood numbers. This is joint work with Shiliang Gao\, G
 idon Orelowitz\, and Nicolas Ressayre. The presentation is based on arXiv:
 2005.09012\, arXiv:2009.09904\, and arXiv:2107.03152.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/52/
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