Tentative Schedule
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Sun 21 July |
Mon 22 July |
Tue 23 July |
Wed 24 July |
Thu 25 July |
Fri 26 July |
08:30 – 09:00 |
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Registration |
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09:00 – 10:00 |
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Plenary Talk |
Plenary Talk |
Plenary Talk |
Plenary Talk |
Plenary Talk |
10:00 – 10:30 |
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Coffee Break |
Coffee Break |
Coffee Break |
Coffee Break |
Coffee Break |
10:30 – 12:30 |
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Minisymposia (parallel sessions) |
Minisymposia (parallel sessions) |
Minisymposia (parallel sessions) |
Minisymposia (parallel sessions) |
Minisymposia (parallel sessions) |
12:30 – 14:00 |
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Lunch |
Lunch |
Lunch |
Lunch |
Lunch |
14:00 – 15:00 |
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Plenary Talk |
Plenary Talk |
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Plenary Talk |
Plenary Talk |
15:00 – 15:30 |
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Coffee Break |
Coffee Break |
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Coffee Break |
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15:30 – 17:30 |
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Minisymposia (parallel sessions) |
Minisymposia (parallel sessions) |
Excursion |
Minisymposia (parallel sessions) |
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17:30 – 19:00 |
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19:00 – 22:00 |
Welcome Reception, Registration |
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Conference Dinner |
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Invited Plenary Speakers
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Peter Clarkson
(University of Kent, UK)
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Christian Krattenthaler
(Universität Wien, Vienna, Austria)
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Irina Nenciu
(University of Illinois at Chicago, USA)
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Veronika Pillwein
(Johannes Kepler Universität, Linz, Austria)
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Mikhail Sodin
(Tel Aviv University, Israel)
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Alan Sokal
(New York University, USA)
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Armin Straub
(University of South Alabama, USA)
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Luc Vinet
(Université de Montréal, Canada)
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Mini-Symposia
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
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
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
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
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
More mini-symposia will be announced in due time.
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