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Titlebook: ICM-90 Satellite Conference Proceedings; Special Functions Masaki Kashiwara,Tetsuji Miwa Conference proceedings 1991 Springer-Verlag Tokyo

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Differential operators on the moduli space of ,-bundles on algebraic curve and Lie algebra cohomolocentral element of ?̂, .. (?̂), the universal enveloping algebra of ?̂ where we suppose, that . is equal to the number . ∈ ? ; .. (?̂) contains infinite combination of the generators, which are acting in the representations of (?̂) with highest weight. It was noticed some time ago that there is a re
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On Some Properties of Robinson-Schensted Correspondence,nsted correspondence are presented. The results are based on the theory of rigged and filled configurations. We give the explicit description of the first tableaux of the filled configuration for Young tableaux . (or .) in terms of the structure of descents of the corresponding permutation.
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Quantum Deformations of SLn/B and its Schubert Varieties,in G and B, a Borel subgroup, B ⊃ M. Let W be the Weyl group of G. For w ∈ W, let X(w) = . (mod B) be the Schubert variety in G/B associated to w. Let L be an ample line bundle on G/B. We shall denote the restriction of L to X(w) also by just L. Let k[X(w)] = ⊙ H.(X(w),L). In this paper, we construc
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Resurgent Equations and Stokes Multipliers for the Generalized Confluent Hypergeometric Differentias of formal solutions to these equations can be represented by the hypergeometric functions and that the coefficients of resurgent equations of those differential equations can be calculated explicitly by using connection formulae of the hypergeometric differential equations. Moreover, we shall show
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An Infinitesimally Quasi Invariant Measure on the Group of Diffeomorphisms of the Circle,ms therefore very doubtfull. The case of the group of the diffeomorphisms of the circle S. is quite different. We shall in this paper identify it with a loop space which carries a natural Wiener measure.
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Quantum Groups and q-Orthogonal Polynomials,e realization of q-analogues of the Jacobi polynomials as spherical functions on the quantum group SU (2). We would like to emphasize that quantum groups and q-orthogonal polynomials have some characteristics in common and that the interaction between the two fields of mathematics will be important
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Analytic Expression of Voros Coefficients and Its Application to WKB Connection Problem, solutions by-asymptotic matching at turning points. Voros [V] proposed a resummation prescription of these formal calculations, and argued that his results should be deeply related with Ecalle’s theory of “resurgent functions.” Further progress along that line has been made by F. Pham and his cowor
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