13th International Symposium on Orthogonal Polynomials, Special Functions and Applications

Gaithersburg, Maryland (USA), June 1-5, 2015

The 13th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA-13), co-organized by SIAM and the National Institute of Standards and Technology (NIST), is the 13th event in the OPSFA series.  It was held at NIST in Gaithersburg, Maryland.

The Scientific committee consisted of: Richard A. Askey, Howard S. Cohl, Kathy Driver, Tom H. Koornwinder, Robert S. Maier, Zeinab Mansour, Andrei Martínez-Finkelshtein, Willard Miller, Victor H. Moll, Adri Olde Daalhuis, Audrey Terras, Walter Van Assche, Luc Vinet.

The chairs of the scientific committee were Diego Dominici (State University of New York at New Paltz, USA) and Dan Lozier (National Institute of Standards and Technology, USA). The conference was run as a SIAM conference, with invited plenary speakers, mini-symposia, and contributed talks. 

The plenary speakers were

  1. Percy Deift :  On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential
  2. Charles F. Dunkl : Vector-valued nonsymmetric and symmetric Jack and Macdonald polynomials
  3. Olga Holtz : The Laguerre-Pólya class
  4. Mourad E.H. Ismail : Eigenvalues of large Hankel and Toeplitz matrices
  5. Karl Liechty (Szegő Prize) : Tacnode kernels and Lax systems for the Painlevé II equation
  6. Teresa E. Pérez : Multivariate orthogonal polynomials and modified moment functionals
  7. Sarah Post : Limits of orthogonal polynomials and contractions of Lie algebras
  8. Nico Temme : Asymptotic and numerical aspects of special functions
  9. Craig A. Tracy : Integrable probability and the role of Painlevé functions
  10. Lauren Williams: Orthogonal polynomials and the 2-species ASEP (video conference)
  11. Wadim Zudilin : Hypergeometric series: on number theory's secret service

Alexei Zhedanov was also invited to give a plenary talk, but he was unable to attend the meeting.

The Gabor Szegő prize was awarded for the third time to Karl Liechty and he gave one of the plenary talks. 

There were 194 registrations and, except for the plenary talks, most of the talks were assigned to one of the minisymposia (40 sessions):

  • Orthogonal polynomials of several variables (part I and II)
  • Orthogonal polynomials and special functions: computational aspects (part I and II)
  • Number theory and special functions
  • Potential theory and applications to orthogonal polynomials and minimal energy (part I and II)
  • Riemann-Hilbert problems: applications to differential equations (part I and II)
  • Riemann-Hilbert problems: orthogonal polynomials and random matrix theory (part I, II and III)
  • Sobolev orthogonal polynomials (part I, II and III)
  • Symbolic computation and special functions (part I, II and III)
  • Legacy of Ramanujan: mock Theta functions and mock modular forms
  • Legacy of Ramanujan: q-series and partitions
  • Legacy of Ramanujan: classical analytic number theory and classical analysis
  • Aspects of Painlevé equations (part I, II and III)
  • Semiclassical orthogonal polynomials
  • Inequalities and special functions (part I and II)
  • Symmetry and special functions (part I and II)
  • Digital mathematics libraries (part I and II)
  • Exponential asymptotics (part I and II)
  • Asymptotics of orthogonal polynomials (part I and II)
  • Orthogonal polynomials and moment problems
  • Orthogonal polynomials of the discrete variables on lattices
  • Numerical methods for special functions
  • Szegő's theorem and its generalizations 
  • Multiple orthogonal polynomials

The program book contains the abstracts (but last minute changes are not updated) and a list of organizers (of mini-symposia) and speakers. The proceedings are published as a special issue in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications).