SIAM AG on Orthogonal Polynomials and Special Functions


Extract from OP-SF NET

Topic #6    ------------   OP-SF NET 5.5  -----------  September 15, 1998
From: Tom H. Koornwinder 
Subject: 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

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

Vitaly Tarasov, "q-Hypergeometric solutions of the quantized
Knizhnik-Zamolodchikov equation"

All abstracts are available at the ICM'98 web site

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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