Meeting on Riemann-Hilbert problems and their applications

Reading University, May 29-30, 2013

Supported by the London Mathematical Society

Invited speakers include:

Estelle Basor, American Institute of Mathematics, Palo Alto, U.S.A.
Lorna Brightmore, University of Bristol, U.K.
Cristina Camara, Instituto Superior Tecnico, Lisbon, Portugal
Peter Clarkson, University of Kent, U.K.
Athanassios S. Fokas, University of Cambridge, U.K.
Spyros Kamvissis, University of Crete, Greece
Jon Keating, University of Bristol, U.K.
Igor Krasovsky, Imperial College London, U.K.
Francesco Mezzadri, University of Bristol, U.K.
Beatrice Pelloni, University of Reading, U.K.
Antti Perala, University of Helsinki, Finland
Eugene Shargorodsky, King's College London, U.K.
Alexander Tovbis, University of Central Florida, U.S.A.
Eugen Varvaruca, University of Reading, U.K.

Theme:

In the past decade, a variety of different mathematical problems have found a unifying element in the fact that they can be formulated, in some sense, as a so-called Riemann-Hilbert problem (RHP), a classical problem in complex analysis. The possibility of interpreting as a RHP many different mathematical questions, especially arising in the modelling of large or random systems, has lately received a lot of attention from the mathematical community, and RH formulations can be found in the context of random matrix theory, statistical physics, and fluid mechanics, for example. The objective of this meeting is to bring together people working in the areas of Riemann-Hilbert problems and their applications in different branches of mathematics and mathematical physics, such as random matrix theory, operator theory, and asymptotic analysis. The main aim is to discuss the current state of the field and, most importantly, to explore further plans for the future.

Program:

Abstracts

Wednesday, May 29, 2013 (Mathematics Building Room 113)

1:45-2:00 J. Virtanen, Opening remarks
2:00-2:50 Francesco Mezzadri, A singular partition function, universality and Painleve' III
3:00-3:25 Lorna Brightmore, Integrable operators and block Toeplitz determinants
3:30-4:00 Break
4:00-4:50 Jon Keating, Extreme Values of the Riemann Zeta-Function on the Critical Line, Freezing in Disordered Landscapes and the Characteristic Polynomials of Random Matrices
5:00-5:50 Igor Krasovsky, Double-scaling asymptotics for Toeplitz determinants
7:00 Dinner (menu) at Loch Fyne

Thursday, May 30, 2013 (Mathematics Building Room 113)

9:00-9:50 Peter Clarkson, Semi-classical orthogonal polynomials and the Painleve equations
10:00-10:50 Spyros Kamvissis, A Riemann-Hilbert Problem in a Riemann Surface
11:00-11:30 Break
11:30-12:20 Alex Tovbis, Painlev\'e transcendents and universality of transitions at the point of gradient catastrophe for some integrable systems and orthogonal polynomials: the Riemann-Hilbert Problem approach
12:30-2:00 Lunch
2:00-2:50 Eugene Shargorodsky, On a nonlinear Riemann-Hilbert problem arising in the theory of Stokes waves
3:00-3:25 Eugen Varvaruca, A complex analysis approach to the problem of steady gravity water waves with constant vorticity
3:30-4:00 Break
4:00-4:25 Antti Perala, Riemann-Hilbert problem with a vanishing coefficient with applications to Toeplitz operators
4:30-5:20 Cristina Camara, On some properties of the kernels of Toeplitz operators

Time and venue:

Room 113, Mathematics Department (directions), University of Reading, England, May 29-30, 2013

Accommodation:

The Cedars Hotel (on campus)
Hillingdon Prince (15-minute walk)

Registration:

If you'd like to attend, email the organizer at j.a.virtanen@reading.ac.uk. Registration fee: GBP 10.00.

Organizer:

J. A. Virtanen, University of Reading

Participants:

  1. Lorna Brightmore, University of Bristol
  2. Cristina Camara, Instituto Superior Tecnico, Lisbon, Portugal
  3. George Chkadua, King's College London
  4. Peter Clarkson, University of Kent
  5. Richard Clift, Loughborough University
  6. Tony Hill, King's College London
  7. Jo Hutchinson, University of Bristol
  8. Maria Infusino, University of Reading
  9. Spyros Kamvissis, University of Crete, Greece
  10. Jon Keating, University of Bristol
  11. Anastasia Kisil, University of Cambridge
  12. Martin Kolb, University of Reading
  13. Igor Krasovsky, Imperial College London
  14. Tobias Kuna, University of Reading
  15. Francesco Mezzadri, University of Bristol
  16. Andrea Moiola, University of Reading
  17. Beatrice Pelloni, University of Reading
  18. Antti Perala, University of Helsinki, Finland
  19. Sergei Rogosin, Aberystwyth University
  20. Mladen Savov, University of Reading
  21. Eugene Shargorodsky, King's College London
  22. Alexander Tovbis, University of Central Florida, U.S.A.
  23. Eugen Varvaruca, University of Reading