Organisers: Professor P Hanlon (Michigan), Professor IG Macdonald (QMW), Professor AO Morris (Aberystwyth)

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Tuesday 17 April

09.00-10.00 Registration

10.00-11.00 P Forrester (Melbourne)

Jack polynomials and the calculation of correlation functions in
many body systems I

11.00-11.30 Coffee

11.30-12.30 H Awata (Nagoya)

Deformed Virasoro algebras and related topics I

12.30-14.00 Lunch at the Centre for Mathematical Sciences

14.00-15.00 C Dunkl (Virginia)

Spherical harmonics of type B and generalized binomial coefficients

15.00-16.00 J Faraut (Marie Curie)

A Ramanujan formula for spherical Fourier series

16.00-16.30 Tea

16.30-17.30 K Hasegawa (Tohoku)

Deforming Noumi-Yamada's realization of Weyl group as rational
transformations

17.30-18.30 Welcome Wine Reception

19.00- . Dinner

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Wednesday 18 April

10.00-11.00 P Forrester (Melbourne)

Jack polynomials and the calculation of correlation functions in
many body systems II

11.00-11.30 Coffee

11.30-12.30 S Odake (Shinshu)

Deformed Virasoro algebras and related topics II

12.30-14.00 Lunch at the Centre for Mathematical Sciences

14.00-15.00 G Heckman (Nijmegen)

The moduli space of rational elliptic surfaces

15.00-16.00 N Jing (North Carolina)

Vertex representations and McKay correspondence

16.00-16.30 Tea

16.30-17.30 V Kuznetsov (Leeds)

On separation of variables for Schur polynomials

17.30-18.30 E Rains (ATT)

A representation theoretic approach to partial Cauchy-Littlewood
identities

19.00- . Dinner

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Thursday 19 April

10.00-11.00 M Olshanetsky (Moscow)

Multicomponent Painleve type equations and classical integrable
many-body systems

11.00-11.30 Coffee

11.30-12.30 J Shiraishi (Tokyo)

Deformed Virasoro algebras and related topics III

12.30-14.00 Lunch at the Centre for Mathematical Sciences

14.00-15.00 V Tarasov (Steklov)

Difference equations compatible with the Knizhnik-Zamolodchikov
differential equations

15.00-16.00 J Stokman (Amsterdam)

The Hankel behaviour of the Askey-Wilson function transform

16.00-16.30 Tea

16.30-17.30 E Opdam (Amsterdam)

Dunkl operators for complex reflection groups and applications

17.30-18.30 T Kirillov (Nagoya)

Generalized saturation conjecture

19.30- . Conference Dinner - Christ's College

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Friday 20 April

10.00-11.00 J-F Van Diejen (Chile)

Elliptic Selberg integrals and applications

11.00-11.30 Coffee

11.30-12.30 T Miwa (Kyoto)

Physical combinatorics

12.30-14.00 Lunch at the Centre for Mathematical Sciences

14.00-15.00 K Mimachi (Tokyo)

A Cauchy formula for the Macdonald-Koornwinder polynomials and its
applications

15.00-16.00 T Koornwinder (Amsterdam)

Opdam's Jacobi functions as limit cases of Macdonald polynomials

16.00-16.30 Tea

16.30-17.30 S Ruijsenaars (CWI)

Harish-Chandra asymptotics for Macdonald polynomials

19.00- . Dinner

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