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

Isaac Newton Institute for Mathematical Sciences

A Newton Institute Workshop

A NATO ASI - Symmetric Functions 2001: Surveys of Developments and Perspectives

25 Jun - 6 Jul 2001

Timetable:

List of participants

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Monday 25 June

08.30-09.30 Registration

09.30-10.30 IG Macdonald

Symmetric functions and orthogonal polynomials: problems and
prospects I  More info

10.45-11.15 Coffee

11.15-12.15 B Leclerc (Caen)

Symmetric functions and Fock space representations of quantum affine
algebras I  More info

12.30-14.00 Lunch at the Centre for Mathematical Sciences

14.30-15.30 M Noumi (Kobe)

Weyl group approach to nonlinear integrable systems I  More info

15.45-16.15 Tea

16.15-17.15 G Olshanski (Russian Academy of Sciences)

Polynomial functions on the set of Young diagrams and Kerov's central
limit theorem I  More info

17.30-18.30 Wine Reception

19.00- . Dinner at Wolfson Court

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Tuesday 26 June

09.30-10.30 IG Macdonald

Symmetric functions and orthogonal polynomials: problems and
prospects II  More info

10.45-11.15 Coffee

11.15-12.15 B Leclerc (Caen)

Symmetric functions and Fock space representations of quantum affine
algebras II  More info

12.30-14.00 Lunch at the Centre for Mathematical Sciences

14.30-15.30 M Noumi (Kobe)

Weyl group approach to nonlinear integrable systems II  More info

15.45-16.15 Tea

16.15-17.15 G Olshanski (Russian Academy of Sciences)

Polynomial functions on the set of Young diagrams and Kerov's central
limit theorem II  More info

19.00- . Dinner at Wolfson Court

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Wednesday 27 June

09.30-10.30 IG Macdonald

Symmetric functions and orthogonal polynomials: problems and
prospects III  More info

10.45-11.15 Coffee

11.15-12.15 B Leclerc (Caen)

Symmetric functions and Fock space representations of quantum affine
algebras III  More info

12.30-14.00 Lunch at the Centre for Mathematical Sciences

14.30-15.30 E Opdam (Amsterdam)

On the rational Dunkl-Cherednik algebra

15.45-16.15 Tea

16.15-17.15 W Fulton (Michigan)

Eigenvalues and Schubert calculus I  More info

19.00- . Dinner at Wolfson Court

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Thursday 28 June

09.30-10.30 M Noumi (Kobe)

Weyl group approach to nonlinear integrable systems III  More info

10.45-11.15 Coffee

11.15-12.15 G Olshanski (Russian Academy of Sciences)

Polynomial functions on the set of Young diagrams and Kerov's central
limit theorem III  More info

12.30-14.00 Lunch at the Centre for Mathematical Sciences

14.30-15.30 E Opdam (Amsterdam)

Spectral theory of affine Hecke algebras I  More info

15.45-16.15 Tea

16.15-17.15 W Fulton (Michigan)

Eigenvalues and Schubert calculus II  More info

18.00-19.30 Reception at the Cambridge University Press Bookshop, 1 Trinity Street

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Friday 29 June

09.30-10.30 E Opdam (Amsterdam)

Spectral theory of affine Hecke algebras II  More info

10.45-11.15 Coffee

11.15-12.15 W Fulton (Michigan)

Eigenvalues and Schubert calculus III  More info

12.30-14.00 Lunch at the Centre for Mathematical Sciences

14.30-15.30 A Vershik (St Petersburg)

Character theory of the group of infinite matrices over a finite field  More info

15.45-16.15 Tea

19.00- . Dinner at Wolfson Court

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Saturday 30 June

19.00- . Dinner at Wolfson Court Free days for informal discussion

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Sunday 1 July

19.00- . Dinner at Wolfson Court Free days for informal discussion Free days for informal discussion

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Monday 2 July

09.30-10.30 M Haiman (UC, San Diego)

Macdonald polynomials and the geometry of Hilbert schemes I  More info

10.45-11.15 Coffee

11.15-12.15 A Zelevinsky (Northeastern)

Generalising the Littlewood-Richardson rule  More info

12.30-13.30 Lunch at the Centre for Mathematical Sciences (CMS)

14.00-15.00 A Vershik (St Petersburg)

Our mathematical work with Sergei Kerov  More info

15.15-15.45 Tea

15.45-16.45 P Diaconis (Stanford)

Kerov's work on the Markov moment problem  More info

17.00- . Remembering Sergei Kerov

19.00- . Dinner at Wolfson Court

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Tuesday 3 July

09.30-10.30 M Haiman (UC, San Diego)

Macdonald polynomials and the geometry of Hilbert schemes II  More info

10.45-11.15 Coffee

11.15-12.15 A Zelevinsky (Northeastern)

Canonical bases and total positivity  More info

12.30-14.00 Lunch at the Centre for Mathematical Sciences (CMS)

14.30-15.30 P Hanlon (Michigan)

The Laplacian method I  More info

15.45-16.15 Tea

16.15-17.15 A Okounkov (UC, Berkeley)

Symmetric functions and random partitions I  More info

19.00- . Dinner at Wolfson Court

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Wednesday 4 July

09.30-10.30 M Haiman (UC, San Diego)

Macdonald polynomials and the geometry of Hilbert schemes III  More info

10.45-11.15 Coffee

11.15-12.15 A Zelevinsky (Northeastern)

Introduction to cluster algebras  More info

12.30-14.00 Lunch at the Centre for Mathematical Sciences (CMS)

14.30-15.30 A Klyachko (Bilkent)

Prinicipal bundles, representation theory, and spectral problems for
semisimple groups I  More info

15.45-16.15 Tea

16.15-17.15 A Okounkov (UC, Berkeley)

Symmetric functions and random partitions II  More info

19.30- . Conference Dinner at St John's College

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Thursday 5 July

09.30-10.30 P Hanlon (Michigan)

The Laplacian method II  More info

10.45-11.15 Coffee

11.15-12.15 A Klyachko (Bilkent)

Principal bundles, representation theory, and spectral problems for
semisimple groups II  More info

12.30-14.00 Lunch at the Centre for Mathematical Sciences (CMS)

14.30-15.30 P Diaconis (Stanford)

Applications of symmetric function theory to random matrix theory  More info

15.45-16.15 Tea

16.15-17.15 A Okounkov (UC, Berkeley)

Symmetric functions and random partitions III  More info

19.00- . Dinner at Wolfson Court

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Friday 6 July

09.30-10.30 P Hanlon (Michigan)

The Laplacian method III  More info

10.45-11.15 Coffee

11.15-12.15 A Klyachko (Bilkent)

Principal bundles, representation theory, and spectral problems for
semisimple groups III  More info

12.30-14.00 Lunch at the Centre for Mathematical Sciences (CMS)

14.30-15.30 P Diaconis (Stanford)

Applications of symmetric function theory to Szego's theorem  More info

15.45-16.15 Tea

19.00- . Dinner at Wolfson Court

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