Orthogonal Polynomials, Special Functions, Operator Theory and Applications

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Orthogonal Polynomials, Special Functions, Operator Theory and Applications

 Apr 19 2021

15:00 - 16:00


  • Ana F. Loureiro (University of Kent)
  • Thomas Bothner (University of Bristol)
  • Adri Olde Daalhuis (University of Edinburgh)
  • Walter Van Assche (KU Leuven, Belgium)
  • Jani Virtanen (University of Reading)


The seminars occur every two weeks, on a Monday, 15:00-16:00 BST, beginning Monday 15 February.

Each seminar we will present a seminar on the topics of orthogonal polynomials and special functions, operator theory and their remarkable applications to other fields of mathematics including analytic number theory, random matrix theory, numerical and computational methods and mathematical physics. The focus of discussion will be on the fruitful interactions between numerical analysis, approximation theory, operator theory, spectral methods, combinatorics and the modern theory of orthogonal polynomials and special functions.

The series is organised by the OPSFOTA research network group funded by LMS. Due to the funding limitations it was restricted to researchers that are based in geographically close institutions: in the UK, University of Kent, University of Reading, King’s College London, Imperial College, University of Sussex, University College London and elsewhere in Europe KU Leuven (Belgium), Radboud Universiteit (the Netherlands) and Université Lille (France). The current situation has given the us the opportunity to open the seminar series to anyone who would like to participate.

To register to attend the seminar please complete this form.

Registration will close at 12.00 on the day of the seminar. The meetings will be held using Zoom and joining details will be sent after 12.00 on the day of the seminar.

Future seminars

19 April 2021

Alan Sokal (University College London & New York University) -
Multiple orthogonal polynomials and branched continued fractions: An unexpected connection

  • Abstract can be viewed here


Past seminars

29 March 2021

Kerstin Jordaan (University of South Africa) -
Generalised higher order Freud polynomials

  • Abstract can be viewed here
  • A recording of this talk is available here


15 March 2021

María Ángeles Garcia-Ferrero (Universität Heidelberg, Germany)
- Exceptional Legendre polynomials and confluent Darboux transformations

  • Abstract can be viewed here
  • A recording of this talk is available here

1 March 2021

Anna Maltsev (Queen Mary University of London) - Covariance formulas for fluctuations of linear spectral statistics for Wigner matrices with few moments

  • Abstract can be viewed here

15 February 2021

Jose Luis Lopez (Universidad Publica de Navarra) -
Asymptotics of the canonical catastrophe integrals

  • Abstract can be viewed here


26 November 2020

Benjamin Eichinger, Johannes Kepler University, Linz, Institute of Analysis (Austria) - Stahl-Totik regularity for orthogonal rational functions with real poles and GMP matrices

29 October 2020

Maxim Yattselev (Indiana University-Purdue University Indianapolis, USA) - On Hermite–Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports

  • A recording of this talk is available here.


1 October 2020

Diane Holcomb (KTH, Sweden) - The stochastic Airy operator and an interesting eigenvalue process.

  • Abstract can be viewed here

17 September 2020

Margit Rösler (Paderborn University, Germany) - Intertwining operators between Dunkl operators of type Bn

  • Lecture slides can be found here


03 September 2020

Giorgio Mantica (Università Degli Studi Dell’insubria, Italy)- Computing the isospectral torus of finite sets of intervals via mappings of polynomial


27 August 2020

W. Riley Casper (California State University, Fullerton, USA) - Fourier Algebras for Orthogonal Matrix Polynomials


20 August 2020

Robert Buckingham (The University of Cincinnati, USA,) and Peter Miller (U. Michigan, USA) - Large-degree asymptotics of rational Painleve-IV solutions by the isomonodromy method.


13 August 2020

Maurice Duits (KTH, Sweden) - Limit shape fluctuations for q-distributions for boxed plane partitions via q-Hahn polynomials


06 August 2020

Robert Milson (Dalhousie University, Canada) - The adelic grassmannian and exceptional Hermite polynomials


30 July 2020

Manuela Girotti : (U. Montreal, Canada) - Fredholm Determinant Solutions of the Painlevé II Hierarchy and Gap Probabilities of Determinantal Point Processes


23 July 2020

Roozbeh Gharakhloo: (Colorado State, US) - A Riemann-Hilbert approach to asymptotic analysis of Toeplitz+Hankel determinants


16 July 2020

Sergey Denisov (U. Wisconsin, USA) - Continuity of weighted operators, Muckenhoupt weights, and Steklov problem for orthogonal polynomials.


9 July 2020

Fredrik Johansson: (INRIA Bordeaux, France) - Special functions in Fungrim


2 July 2020

Emma Bailey (University of Bristol, UK) - Moments of moments


25 June 2020

Grzegorz Swiderski (KU Leuven, Belgium) - About essential spectra of unbounded Jacobi matrices


18 June 2020

Håkan Hedenmalm (KTH Stockholm, Sweden) - Gaussian analytic functions and operator symbols of Dirichlet type

This seminar series is supported as part of the ICMS Online Mathematical Sciences Seminars.