Tentative Schedule

Invited Plenary Speakers

	Peter Clarkson (University of Kent, UK)		Christian Krattenthaler (Universität Wien, Vienna, Austria)
	Irina Nenciu (University of Illinois at Chicago, USA)		Veronika Pillwein (Johannes Kepler Universität, Linz, Austria)
	Mikhail Sodin (Tel Aviv University, Israel)		Alan Sokal (New York University, USA)
	Armin Straub (University of South Alabama, USA)		Luc Vinet (Université de Montréal, Canada)

Mini-Symposia

MS 01: Orthogonal polynomials, special functions, and functional equations

Abstract: In this mini-symposium we would like to gather together experts on linear special functions (e.g., hypergeometric) and nonlinear special functions (e.g., Painlevé equations) to discuss different aspects of these functions and recent advances in differential, difference and q-difference equations. One aspect is the relation between orthogonal polynomials and the Painlevé equations and the interest will be in discrete Painlevé equations and special solutions of the Painlevé differential equations that appear in the analysis of orthogonal polynomials.

MS 02: Hypergeometric functions

Abstract: In this mini-symposium, we will consider recent developments in the field of hypergeometric functions, including Generalized Hypergeometric Functions, Basic Hypergeometric Functions and Elliptic Hypergeometric Functions. Topics will cover Summation formulas, Asymptotic expansions, Integrals and series, etc.

MS 03: Trends on orthogonal polynomials in weighted Sobolev spaces

Abstract: In this MS we will consider different approaches and applications of polynomials orthogonal with respect to inner products in weighted Sobolev spaces. The topics to be covered are interpolation and Fourier projectors and their applications to boundary value problems in one and several variables, asymptotic properties of such polynomials, distribution of zeros, convergence of Sobolev-Fourier expansions, Christoffel functions, moment problems, differential operators with Sobolev orthogonal polynomials as eigenfunctions, among others.

MS 04: Multivariate special functions related to Lie algebras

Abstract: In this mini-symposium recent developments on multivariate special functions related to Lie algebras, or root systems, will be considered. The topics include but are not restricted to symmetric functions (such as Macdonald polynomials, Macdonald-Koornwinder polynomials, etc.), integrable systems, related physical and combinatorial models, connections to representation theory, conformal field theory and character identities.

MS 05: Multiple orthogonal polynomials and Hermite-Padé approximation

Abstract: Multiple orthogonal polynomials are polynomials in one variable that satisfy orthogonality relations with respect to $r$ measures. They appear in a natural way in Hermite-Padé approximation, which is simultaneous rational approximation to $r$ functions near infinity. The session will focus on special families of multiple orthogonal polynomials, asymptotic behavior of the zeros, asymptotic results and Riemann-Hilbert/steepest descent, applications in numerical analysis, random matrices, determinantal point processes.

MS 06: Symbolic computation and special functions

Abstract: Computer algebra plays an increasingly important role in the investigation of special functions. For large classes of special functions we now have strong algorithmic theories. Software packages based on these theories successfully solve interesting problems that are not accessible by other means and they also routinely and reliably solve tedious subproblems that frequently arise in day-to-day calculations. The purpose of this minisymposium is to join computer algebra people interested in special functions with special functions people interested in computer algebra, in order to share recent trends, new techniques, and open problems at the intersection of these two areas.

MS 07: Recent trends in asymptotics

Abstract: The main goal of the mini-symposium is to bring together researchers from all over the world to discuss their most recent results in the field of asymptotic analysis. The mini-symposium is intended to cover a broad range of subjects in asymptotic analysis, including classical asymptotics, uniform asymptotics, hyperasymptotics, resurgent function theory and exact WKB analysis.

MS 08: Asymptotics via non-standard orthogonality

Abstract: Asymptotic behavior of sequences of polynomials can certainly be called a classical problem. In particular, analytic properties of classical orthogonal polynomials have attracted interest from late 19th century. Nevertheless, in the last few decades the field has experienced several striking developments. On one hand they were stimulated by applications: for instance, many models of mathematical physics can be described in terms of sequences of polynomials exhibiting non-standard type of orthogonality (multiple, non-hermitian, Sobolev, matrix, to mention a few), and their asymptotic analysis is the key to the study of large-scale phenomena. On the other hand, new methods from potential theory, spectral theory and integrable systems have been successfully developed. For this mini-symposium, we plan on bringing together a range of experts in the asymptotic theory of orthogonal polynomials and their generalizations, representing a wide scope of techniques and applications from a modern perspective.

MS XX