ICM-90 Satellite Conference Proceedings

1. Front Matter

   Pages I-V

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2. The Bender-Wu Analysis and the Voros Theory

   • Takashi Aoki, Takahiro Kawai, Yoshitsugu Takei

   Pages 1-29

3. A q-analogue of de Rham cohomology

   • Kazuhiko Aomoto, Yoshifumi Kato

   Pages 30-62

4. Affine Extensions of Knizhnik-Zamolodchikov Equations and Lusztig’s Isomorphisms

   • Ivan Cherednik

   Pages 63-77

5. Hypergeometric Functions

   • Leon Ehrenpreis

   Pages 78-89

6. Differential operators on the moduli space of G-bundles on algebraic curve and Lie algebra cohomologies

   • B. L. Feigin

   Pages 90-103

7. Hypergeometric Functions, Toric Varieties and Newton Polyhedra

   • I. M. Gelfand, M. M. Kapranov, A. V. Zelevinsky

   Pages 104-121

8. On Some Properties of Robinson-Schensted Correspondence

   • Anatoli Kirillov

   Pages 122-126

9. Standard Monomial Theory for Ŝp2n

   • V. Lakshmibai

   Pages 127-148

10. Quantum Deformations of SLn/B and its Schubert Varieties

    • V. Lakshmibai, N. Reshetikhin

    Pages 149-168

11. Supernumary Polylogarithmic Ladders and Related Functional Equations

    • L. Lewin

    Pages 169-221

12. Resurgent Equations and Stokes Multipliers for the Generalized Confluent Hypergeometric Differential Equations of the Second Order

    • Hideyuki Majima

    Pages 222-233

13. An Infinitesimally Quasi Invariant Measure on the Group of Diffeomorphisms of the Circle

    • Marie Paule Malliavin, Paul Malliavin

    Pages 234-244

14. The Chiral Potts Model: from Physics to Mathematics and back

    • Barry M. McCoy

    Pages 245-259

15. Quantum Groups and q-Orthogonal Polynomials

    • Masatoshi Noumi

    Pages 260-288

16. R-matrices with gauge parameters and multi-parameter quantized enveloping algebras

    • Masato Okado, Hiroyuki Yamane

    Pages 289-293

17. Analytic Expression of Voros Coefficients and Its Application to WKB Connection Problem

    • Kanehisa Takasaki

    Pages 294-315

18. Back Matter

    Pages 316-318

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The 1990 Hayashibara Forum, "the International Conference on Special Functions", was held at Fujisaki Institute, Hayashibara Biochemical Laboratories, Inc., Okayama, Japan for five days (August 16-20, 1990). This volume is the proceedings for that meeting. On January 14,1985, Heisuke Hironaka and Ken Hayashibara, the president of Chair­ man, Board of Trustees, Hayashibara Foundation, met and decided to have an international conference on mathematics in the summer of 1990. This was pushed forward by Kiyosi Ito, who proposed "Special functions" as the theme of the conference. He also asked the present editors to join in the organizing committee of the Hayashibara Forum, 1990. On May 13, 1989 the organizing committee sent letters to major Japanese mathemat­ ical institutions asking their members to give suggestions about whom it should invite. Receiving the replies, the organizing committee decided the invited speakers, and sent invitation letters to them, in which it was written that "Special functions have been created and explored to describe scientific and mathematical phenomena. Trigonometric functions give the relation of angle to length. Riemann's zeta function was invented in order to describe the prime number distribution. Legendre's spherical functions and Bessel's functions were born in connection with the eigenvalue problems for partial differential equations.

• Eigenvalue
• Hypergeometric function
• differential equation
• distribution
• logarithm
• orthogonal polynomials
• partial differential equation
• special function

• RIMS, Kyoto University, Sakyoku, Kyoto 606, Japan

  Masaki Kashiwara, Tetsuji Miwa

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