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SUMMARY:Hjalmar Rosengren (Chalmers University of Technology and the Unive
 rsity of Gothenburg)
DTSTART:20200702T092500Z
DTEND:20200702T103000Z
DTSTAMP:20260423T022834Z
UID:SF-and-nt/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SF-and-nt/2/
 ">On the Kanade-Russell identities</a>\nby Hjalmar Rosengren (Chalmers Uni
 versity of Technology and the University of Gothenburg) as part of Special
  Functions and Number Theory seminar\n\n\nAbstract\nKanade and Russell con
 jectured several Rogers-Ramanujan-type identities for triple series. Some 
 of these conjectures are related to characters of affine Lie algebras\, an
 d they can all be interpreted combinatorially in terms of partitions. Many
  of these conjectures were settled by Bringmann\, Jennings-Shaffer and Mah
 lburg. We describe a new approach to the Kanade-Russell identities\, which
  leads to new proofs of five previously known identities\, as well as four
  identities that were still open. For the new cases\, we need quadratic tr
 ansformations for q-orthogonal polynomials.\n
LOCATION:https://researchseminars.org/talk/SF-and-nt/2/
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