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DTSTART;TZID=America/Toronto:20250331T113000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-gr
 aph-theory-meri-zaimi
SUMMARY:Algebraic Graph Theory-Meri Zaimi
CLASS:PUBLIC
DESCRIPTION:TITLE: Finite bivariate Tratnik functions\n\nSPEAKER:\n\nMeri 
 Zaimi\n\nAFFILIATION:\n\nPerimeter Institute for Theoretical Physics\n\nLO
 CATION:\n Please contact Sabrina Lato for Zoom link.\n\nABSTRACT: In the
  context of algebraic combinatorics\, P- and\nQ-polynomial association sch
 emes are important objects and are closely\nrelated to distance-regular gr
 aphs. The polynomials appearing in these\nstructures are classified by Leo
 nard's theorem\, and they belong to the\ndiscrete part of the (q-)Askey sc
 heme. Relatively recently\, the\nnotions of P- and Q-polynomial associatio
 n schemes as well as of\ndistance-regular graphs have been generalized to 
 the multivariate\ncase. There is however no multivariate analog of Leonard
 's theorem.\nWith the purpose of progressing in that direction\, I will di
 scuss\nongoing work concerning certain finite families of bivariate\nfunct
 ions\, said of Tratnik type\, which are expressed as an intricate\nproduct
  of univariate polynomials of the (q-)Askey scheme. The goal is\nto classi
 fy such functions which satisfy some generalized bispectral\nproperties\, 
 that is\, two recurrence relations and two (q-)difference\nequations of ce
 rtain types.
DTSTAMP:20260403T082738Z
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