Topic #6 ------------ OP-SF NET 5.5 ----------- September 15, 1998 ~~~~~~~~~~~~~ From: Tom H. KoornwinderSubject: Orthogonal Polynomials and Special Functions at ICM'98 (From opsftalk) ICM'98 (the International Congress of Mathematicians) was held during August 18-27, 1998 in Berlin, Germany. Orthogonal Polynomials and Special Functions were no major theme at this Congress, but some was represented, scattered over the sections: 7. Lie groups and Lie algebras 8. Analysis 11. Mathematical physics 15. Numerical analysis and scientific computing 16. Applications Here is a (probably not exhaustive) list. Fields Medal Winners: One of the winners, Richards E. Borcherds, has obtained generalizations of Macdonald identies in connection with generalized Kac-Moody algebras (just as the Macdonald identities follow from denominator identities for affine Kac-Moody algebras). Plenary Lectures: I.G. Macdonald, "Constant term identities, orthogonal polynomials and affine Hecke algebras" Invited Section Lectures: Ivan V. Cherednik, "From double Hecke algebra to analysis" (contains some one-variable q-identities for which Cherednik would like to hear from others a classical proof) Barry McCoy, "Rogers-Ramanujan identities: A century of progress from mathematics to physics" Percy Alec Deift, "Uniform asymptotics for orthogonal polynomials" (very recommended) Leslie Frederick Greengard, "A new version of the fast Gauss transform" (uses Hermite polynomials) Short Communications and Poster Sessions: N. Jing, "Quantized Kac-Moody algebras and symmetric functions" Boris Rubin, "Fractional calculus and wavelet transforms in integral geometry" Ahmed I. Zayed, "Wavelets in closed form" Thomas C. Kriecherbauer, "Asymptotics of orthogonal polynomials via integrable methods" (relates to Deift's lecture) Margit Rosler, "Positivity of Dunkl's intertwining operator" Raoul R.F.G. Gloden, "Proprietes des polynomes orthogonaux. Developpements de cas particuliers" Kathy A. Driver, "Zeros of hypergeometric functions" William C. Connett, "Measure algebras that have oblate spheroidal wave functions as characters" Alan L. Schwartz, "Hypergroups and their maximum subgroup" Andreas Ruffing, "On Schrodinger-Hermite operators in lattice quantum mechanics" Vitaly Tarasov, "q-Hypergeometric solutions of the quantized Knizhnik-Zamolodchikov equation" All abstracts are available at the ICM'98 web site http://elib.zib.de/ICM98 There you will also find a link to a site from which you can download the files of the papers of the Invited Section Lectures. Tom Koornwinder

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