Schedule of the Plenary and Special Invited Lectures on the NATO Advanced Study Institute Special Functions 2000: Current Perspective and Future Directions

Arizona State University, Tempe, Arizona, USA
May 29 - June 9, 2000

Dates:
[Monday, May 29 | Tuesday, May 30 | Wednesday, May 31 | Thursday, June 1 | Friday, June 2]
[Monday, June 5 | Tuesday, June 6 | Wednesday, June 7 |  Thursday, June 8 | Friday, June 9]

Speakers:
Andrews, Askey, Berndt, Deift, Dunkl, Garsia, Gessel*, Grünbaum, Haine, Ismail, Kitaev, Koelink, Koornwinder, Krattenthaler, Leites, Littlejohn*, Lozier*, Marichev*, Milne, Njåstad, Noumi, Olshanski, Ono, Paule*, Rahman, Riese*, Rosengren, Ruijsenaars, Spiridonov, Stanton, Stokman, Suslov, Terwilliger, Tolstoy, Trott*, Van Assche, Vinet, Wimp, Wong, Zhedanov
*Mini-Program: Computer Algebra and Special Functions on the Web

Monday, May 29

a.m	7:00-8:30	Registration
	8:30-8:40	Bustoz	Opening remarks
	8:40-8:50	University representative	Opening remarks
	8:50-9:00	From the organizing committee	Opening remarks
	9:00-9:50	Askey	The last 100 years of special functions
	9:55-10:20	Coffee Break
	10:25-11:15	Ismail	The Askey-Wilson operators and summation theorems
	11:20-12:10	Andrews	q-Series in the twentieth century
p.m.	12:15-1:40	Lunch
	1:40-2:30	Ono	The history of the partition function
	2:40-3:30	Wong	Asymptotics I
	3:40-3:55	Coffee Break
	4:00-5:00	NSF Conference	Section I, Section II, and Section III
	5:10-6:00	Marichev*	Mathematica and Special Functions
	6:00-8:00	Dinner
	8:00-8:30	Trott*	Mathematica and Special Functions

*Mini-Program: Computer Algebra and Special Functions on the Web

Tuesday, May 30

a.m	8:00-8:50	Andrews	Some recent developments in q-series
	9:00-9:50	Ismail	The Askey - Wilson polynomials
	10:00-10:25	Coffee Break
	10:30-11:20	Ono	Ramanujan's congruences and modern number theory
	11:30-12:20	Rahman	The associated classical orthogonal polynomials
p.m	12:30-2:00	Lunch
	2:00-2:50	Wong	Asymptotics II
	3:00-3:50	Stokman	Koornwinder - Macdonald polynomials
	4:00-4:15	Coffee Break
	4:15-5:05	Wimp	Some things we almost know
	5:15-5:50	Bustoz	The Joaquin Bustoz Happy Hour
	6:00-8:30	Reception

Wednesday, May 31

a.m	8:00-8:50	Koornwinder	Special functions associated with the quantum dynamical Yang-Baxter equation
	9:00-9:50	Ismail	Generating functions and connection coefficients
	10:00-10:20	Coffee Break
	10:20-11:10	Stanton	Combinatorics of orthogonal polynomials I
	11:20-12:10	Berndt	Flowers which we cannot yet see growing in Ramanujan's garden of hypergeometric series, elliptic functions, and q's
p.m	12:20-2:15	Lunch
	2:15-3:05	Noumi	Discrete integrable systems and special polynomials arising from affine root system
	3:15-3:45	NSF Conference	Section I, Section II, and Section III
	3:45-4:00	Coffee Break
	4:00-5:00	NSF Conference	Section I, Section II, and Section III
	5:10-6:00	Gessel*	WZ method
	6:00-8:00	Dinner
	8:00-8:30	Littlejohn*	The old meets the new: the method of Frobenius and Mathematica

*Mini-Program: Computer Algebra and Special Functions on the Web

Thursday, June 1

a.m	8:00-8:50	Stanton	Combinatorics of orthogonal polynomials II
	9:00-9:50	Koelink	The Askey-Wilson transform scheme
	10:00-10:20	Coffee Break
	10:30-11:20	Ruijsenaars	A 'relativistic' hypergeometric function obeying four Askey-Wilson type difference equations
	11:30-12:20	Njastad	Orthogonal rational functions and continued fractions
p.m	12:30-2:15	Lunch
	2:15-3:05	Garsia	Some New Methods in the Theory of Symmetric Functions
	3:15-3:45	NSF Conference	Section I, Section II, and Section III
	3:45-4:00	Coffee Break
	4:00-5:00	NSF Conference	Section I, Section II, and Section III
	5:10-6:00	Open Discussions
	6:00-8:00	Dinner
	8:00-8:30	Riese*	Symbolic q-hypergeometric summation and partition analysis

*Mini-Program: Computer Algebra and Special Functions on the Web

Friday, June 2

a.m	8:00-8:50	Koelink	Special functions and dynamical quantum groups
	9:00-9:50	Dunkl	Orthogonal polynomials of classical type in several variables
	10:00-10:20	Coffee Break
	10:30-11:20	Krattenthaler	Plane Partitions, Determinants, and Hypergeometric Series
	11:30-12:20	Rahman	On an inverse of the Askey-Wilson operator: the indefinite integral
p.m	12:30-2:15	Lunch
	2:15-3:05	Leites	Special Lecture in Mathematical Physics: From Supergravity to ball bearings. Cohomology for physicists and engineers
	3:15-3:45	NSF Conference	Section I, Section II, and Section III
	3:45-4:00	Coffee Break
	4:00-5:00	NSF Conference	Section I, Section II, and Section III
	5:00-6:00	Open Discussions
	6:00-8:00	Barbecue

Monday, June 5

a.m	8:00-8:50	Krattenthaler	Beyond Plane Partitions: Some Applications of Orthogonal Polynomials and Multiple Hypergeometric Series
	9:00-9:50	Deift	Riemann - Hilbert problems I
	10:00-10:20	Coffee Break
	10:30-11:20	Vinet	Advances in multivariable special functions and mathematical physics I
	11:30-12:20	Dunkl	Boundedness and summability problems for expansions
p.m	12:30-2:15	Lunch
	2:15-3:05	Van Assche	Riemann - Hilbert Problems for multiple orthogonal polynomials
	3:15-3:45	NSF Conference	Section I, Section II, and Section III
	3:45-4:00	Coffee Break
	4:00-5:00	NSF Conference	Section I, Section II, and Section III
	5:10-6:00	Lozier*	A New Web-Enabled Database of Special Functions
	6:00-8:00	Dinner
	8:00-8:30	Tutorial*	Mathematica and Special Functions

*Mini-Program: Computer Algebra and Special Functions on the Web

Tuesday, June 6

a.m	8:00-8:50	Milne	Transformations of U(n+1) multiple basic hypergeometric series
	9:00-9:50	Vinet	Advances in multivariable special functions and mathematical physics II
	10:00-10:20	Coffee Break
	10:30-11:20	Deift	Riemann - Hilbert problems II
	11:30-12:20	Grunbaum	Some variations on the bispectral problem
p.m	12:30-2:15	Lunch
	2:15-3:05	Olshanski	Representation theory, Hypergeometric Correlation Kernels, and Random Matrices
	3:15-3:45	NSF Conference	Section I, Section II, and Section III
	3:45-4:00	Coffee Break
	4:00-5:00	NSF Conference	Section I, Section II, and Section III
	5:10-6:00	Krattenthaler*	Mathematica packages HYP and HYPQ
	6:00-8:00	Dinner
	8:00-8:50	Tutorial*	Mathematica and Special Functions

*Mini-Program: Computer Algebra and Special Functions on the Web

Wednesday, June 7

a.m	8:00-8:50	Kitaev	Special Functions of the Isomonodromy Type. The Painlev\'e Equations. I
	9:00-9:50	Milne	Infinite families of exact sums of squares formulas, Jacobi elliptic Functions, continued fractions, and Schur functions
	10:00-10:20	Coffee Break
	10:30-11:20	Tolstoy	Projection operator method for quantum groups I
	11:30-12:20	Terwilliger	Tridiagonal pairs
p.m	12:30-2:15	Lunch
	2:15-3:05	Zhedanov	Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids
	3:15-3:45	NSF Conference	Section I,  Section II, and Section III
	3:45-4:00	Coffee Break
	4:00-5:00	NSF Conference	Section I,  Section II, and Section III
	5:10-6:00	Paule*	Computer algebra and multiple sums
	7:00-9:00	Banquet

*Mini-Program: Computer Algebra and Special Functions on the Web

Thursday, June 8

a.m	8:00-8:50	Tolstoy	Projection operator method for quantum groups II
	9:00-9:50	Kitaev	Special Functions of the Isomonodromy Type. The Painlev\'e Equations.II
	10:00-10:20	Coffee Break
	10:30-11:20	Spiridonov	The factorization method, self-similar potentials and quantum algebras
	11:30-12:20	Suslov	Basic exponential functions, "addition" theorems, q-Fourier series and their extensions
p.m	12:30-2:15	Lunch
	2:15-3:05	Haine	Krall's Problem: Some New Perspectives
	3:15-3:45	NSF Conference	Section I, Section II, and Section III
	3:45-4:00	Coffee Break
	4:00-5:00	NSF Conference	Section I, Section II, and Section III
	5:10-6:00	Open Discussions
	6:00-8:00	Dinner

Friday, June 9

a.m	8:00-8:50	Rosengren	The dynamical Yang-Baxter equation and Wigner 9j-symbols
	9:00-9:50	Askey	Future directions
	10:00-10:20	Coffee Break
	10:30-11:20	TBA	Future directions
	11:30-12:20	TBA	Open Problems
p.m	12:30-1:20	Lunch
	1:30-3:00	Open Discussions
	3:00-6:00	Open Discussions
	6:00-8:30	Dinner

This page is maintained by Sergei Suslov
Revised May 20, 2000