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Tentative Schedule

Sun 21 July Mon 22 July Tue 23 July Wed 24 July Thu 25 July Fri 26 July
08:30 – 09:00 Registration
09:00 – 10:00 Plenary Talk Plenary Talk Plenary Talk Plenary Talk Plenary Talk
10:00 – 10:30 Coffee Break Coffee Break Coffee Break Coffee Break Coffee Break
10:30 – 12:30 Minisymposia
(parallel sessions)
(parallel sessions)
(parallel sessions)
(parallel sessions)
(parallel sessions)
12:30 – 14:00 Lunch Lunch Lunch Lunch Lunch
14:00 – 15:00 Plenary Talk Plenary Talk Plenary Talk Plenary Talk
15:00 – 15:30 Coffee Break Coffee Break Coffee Break
15:30 – 17:30 Minisymposia
(parallel sessions)
(parallel sessions)
Excursion Minisymposia
(parallel sessions)
17:30 – 19:00
19:00 – 22:00 Welcome

Invited Plenary Speakers

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


The contributed talks at OPSFA 15 will be organized in topical sessions, called mini-symposia (MS). If you are interested to give a contributed talk at the conference, please choose a mini-symposium from the below list that fits best for your proposed topic and contact the respective organizers. If none of the existing mini-symposia fits for you, you may consider to organize one yourself. For this purpose, send your proposal (title and abstract of the MS, name(s), e-mail, and affiliation(s) of the MS organizer(s), and [optional] tentative list of speakers) to the Conference Chair. All proposals for mini-symposia need to be approved by the Scientific Committee. Please note that there is no financial support for the MS organizers and no budget to invite speakers. At least one of the MS organizers should be present at the conference and chair the session. Ideally, the length of a mini-symposium should not exceed 6 hours (i.e., 12 talks).

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

Organizers:  Walter van Assche (Katholieke Universiteit Leuven, Belgium)
Galina Filipuk (University of Warsaw, Poland)
Yoshishige Haraoka (Kumamoto University, Japan)

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

Organizer: Diego Dominici (Johannes Kepler University Linz, Austria)

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

Organizers:  Francisco Marcellán (Universidad Carlos III de Madrid and ICMAT, Spain)
Juan José Moreno-Balcázar (Universidad de Almería, Spain)

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

Organizer: Michael Schlosser (Universität Wien, Vienna, Austria)

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

Organizer: Walter van Assche (Katholieke Universiteit Leuven, Belgium)

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

Organizers:  Manuel Kauers (Johannes Kepler University Linz, Austria)
Veronika Pillwein (Johannes Kepler University Linz, Austria)

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

Organizer: Gergő Nemes (Alfréd Rényi Institute of Mathematics, Budapest, Hungary)

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

Organizers:  Andrei Martinez-Finkelshtein (Baylor University, Texas, USA / Universidad de Almeria, Spain)
Guilherme Silva (University of Michigan, USA)
Maxim Yattselev (Indiana University IUPUI, USA)

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.


More mini-symposia will be announced in due time.
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