Isaac Newton Institute for Mathematical Sciences
NATO Advanced Study Institute with support from the EC

Symmetric Functions 2001:
Surveys of Developments and Perspectives

Schedule

Monday, June 25
8.30 Registration
9.30 Macdonald (1) Symmetric functions and orthogonal polynomials: problems and prospects. I
10.45 Coffee
11.15 Leclerc (1) Symmetric functions and Fock space representations of quantum affine algebras. I
12.30 Lunch
14.30 Noumi (1) Weyl group approach to nonlinear integrable systems. I
15.45 Tea
16.15 Olshanski (1) Polynomial functions on the set of Young diagrams and Kerov's central limit theorem. I
17.30 Welcome Wine Reception (until 18.30)
Tuesday, June 26
9.30 Macdonald (2) Symmetric functions and orthogonal polynomials: problems and prospects. II
10.45 Coffee
11.15 Leclerc (2) Symmetric functions and Fock space representations of quantum affine algebras. II
12.30 Lunch
14.30 Noumi (2) Weyl group approach to nonlinear integrable systems. II
15.45 Tea
16.15 Olshanski (2) Polynomial functions on the set of Young diagrams and Kerov's central limit theorem. II
Wednesday, June 27
9.30 Macdonald (3) Symmetric functions and orthogonal polynomials: problems and prospects. III
10.45 Coffee
11.15 Leclerc (3) Symmetric functions and Fock space representations of quantum affine algebras. III
12.30 Lunch
14.30 Opdam (1) On the rational Dunkl-Cherednik algebra
15.45 Tea
16.15 Fulton (1) Eigenvalues and Schubert calculus. I
Thursday, June 28
9.30 Noumi (3) Weyl group approach to nonlinear integrable systems. III
10.45 Coffee
11.15 Olshanski (3) Polynomial functions on the set of Young diagrams and Kerov's central limit theorem. III
12.30 Lunch
14.30 Opdam (2) Spectral theory of affine Hecke algebras. I
15.45 Tea
16.15 Fulton (2) Eigenvalues and Schubert calculus. II
18.00 Reception at the Cambridge University Press Bookshop, 1 Trinity Street (until 19.30).
Wine and Snacks provided by CUP
Friday, June 29
9.30 Opdam (3) Spectral theory of affine Hecke algebras. II
10.45 Coffee
11.15 Fulton (3) Eigenvalues and Schubert calculus. III
12.30 Lunch
14.30 Vershik (1) Character theory of the group of infinite matrices over a finite field
15.45 Tea
Saturday, June 30 and Sunday, July 1
free days for informal discussion
Monday, July 2
9.30 Haiman (1) Macdonald polynomials and the geometry of Hilbert schemes. I
10.45 Coffee
11.15 Zelevinsky (1) Generalizing the Littlewood-Richardson rule
Special afternoon session dedicated to the memory of Sergei V. Kerov
12.30 Lunch
14.00 Vershik (2) Our mathematical work with Sergei Kerov
15.15 Tea
15.45 Diaconis (1) Kerov's work on the Markov moment problem
17.00 Remembering Sergei Kerov
Tuesday, July 3
9.30 Haiman (2) Macdonald polynomials and the geometry of Hilbert schemes. II
10.45 Coffee
11.15 Zelevinsky (2) Canonical bases and total positivity
12.30 Lunch
14.30 Hanlon (1) The Laplacian Method. I
15.45 Tea
16.15 Okounkov (1) Symmetric functions and random partitions. I
Wednesday, July 4
9.30 Haiman (3) Macdonald polynomials and the geometry of Hilbert schemes. III
10.45 Coffee
11.15 Zelevinsky (3) Introduction to cluster algebras
12.30 Lunch
14.30 Klyachko (1) Principal bundles, representation theory, and spectral problems for semisimple groups. I
15.45 Tea
16.15 Okounkov (2) Symmetric functions and random partitions. II
19.30 Conference dinner at St.John's College
Thursday, July 5
9.30 Hanlon (2) The Laplacian Method. II
10.45 Coffee
11.15 Klyachko (2) Principal bundles, representation theory, and spectral problems for semisimple groups. II
12.30 Lunch
14.30 Diaconis (2) Applications of symmetric function theory to random matrix theory
15.45 Tea
16.15 Okounkov (3) Symmetric functions and random partitions. III
Friday, July 6
9.30 Hanlon (3) The Laplacian Method. III
10.45 Coffee
11.15 Klyachko (3) Principal bundles, representation theory, and spectral problems for semisimple groups. III
12.30 Lunch
14.30 Diaconis (3) Applications of symmetric function theory to Szego's theorem
15.45 Tea

This page is maintained by Sergey Fomin.