Book of Abstracts

The detailed schedule (including slides of some talks) can be found on this website.

Invited Plenary Speakers

Thomas Bothner (Szegő Prize Lecture) (King's College London, UK)	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

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).

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.

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.

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.

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.

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.

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.

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.

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.

Abstract: In this mini-symposium we aim to discuss recent advances in the field of extremal polynomials, such as orthogonal and Chebyshev polynomials. New developments for the associated operators (given by, e.g., Jacobi or CMV matrices) as well as for continuous Schrödinger operators and canonical systems are naturally included. We are particularly interested in situations where almost periodicity occurs.

Abstract: Recent applications of Potential Theory to the theory of orthogonal polynomials have allowed for significant advancement of the subject. Methods, such as the Riemann-Hilbert approach, for investigating asymptotic behavior of orthogonal polynomials include prominently the equilibrium measure of a compact set in the complex plane. Another important application of potential theory is to minimal energy problems on the sphere and other manifolds. Seemingly different, both of these areas of analysis explore the convergence properties of discrete potentials. It is the intention of the minisymposium is to provide a common bridge between them and allow for interchanging of ideas.

Abstract: This mini-symposium is dedicated to discuss recent developments in the study of q-series and its implications on the theory of partitions in a broad perspective. We aim to welcome the representation of all the techniques used in the field such as series manipulations, basic hypergeometric transformations, modular forms, bijective combinatorics, etc.

There will also be a general session for contributed talks that do not fit into the scope of any of the minisymposia. If you are interested, please send your proposed title and abstract to Christoph Koutschan.

Poster Session

Proceedings

Social Program

		On Sunday, July 21, a welcome reception will be held in the Gemeindesaal (common hall) of the castle of Hagenberg, which is just a 5-minute walk from the hotel (see the map). Food and beverages will be provided starting at 19:00. It will be a great opportunity to meet fellow colleagues and new friends in anticipation of a scientifically productive week.
On Wednesday afternoon, there will be no talks. Instead, we offer an exciting excursion to Freistadt, a small medieval town 20 km north of Hagenberg. Buses will leave at 14:30 from the front of Hotel Sommerhaus. Freistadt is known for its well-preserved walls, gates, and towers, which were erected in the 14th and 15th centuries, and for its 163 heritage buildings, which were built in gothic and renaissance styles. Besides a guided tour through the delightful old town, we will visit Freistädter Brewery to learn about the art and history of beer brewing at the Bier-Akademie. We end the evening with the conference dinner, which takes place in the restaurant Zum Goldenen Hirschen (Böhmer Gasse 8-10, 4240 Freistadt). At the conclusion of this eventful day, buses will bring the conference participants back to the hotel in Hagenberg. The excursion and the dinner are both included in the registration fee.
		On Thursday evening, we will have an organ concert in the church of Hagenberg, starting at 18:00. Christian Krattenthaler will give an introduction to the fine Zanin organ (inaugurated in 2005) and play great compositions from several centuries. It will be a most wonderful treat for the ears.

From Monday through Friday, lunch will be served in the meeting room opposite of the lecture halls. Here is the menu for the week, including the menu for the conference dinner.