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conference
31/05/2006 02/06/2006

Research Workshop: Riemann Surfaces - Analytical and Numerical Methods

The theory of Riemann surfaces has many applications in mathematics and physics as surface theory, integrable systems and random matrix theory. Modern computational techniques allow the use of numerical methods for problems which were so far difficult to access both analytically and numerically. It is the aim of this research workshop to bring together experts from Riemann surface theory and the theory of moduli spaces with experts from symbolic and scientific computing. The exchange of knowledge should inform the analytical side on the possibilities of modern computing and the numerical side on current problems in Riemann surface theory which are computationally accessible. See also the Virtual Math Lab about Dynamical Systems.

Speakers

Andrei Bogatyrëv

INM RAS (Moscow), Russia

Harry Braden

University of Edinburgh, United Kingdom

Peter Buser

EPF Lausanne, Switzerland

Darren Crowdy

Imperial College (London), United Kingdom

Boris Dubrovin

Sissa Trieste, Italy

Viktor Enol'skii

Institute of Magnetism (Kiev), Ukraine and Concordia University (Montreal), Canada

Jörg Frauendiener

Universität Tübingen, Germany

Tamara Grava

Sissa Trieste, Italy

Martin Hassner

Hitachi (San Jose), USA

Alexei Kokotov

Concordia University (Montreal), Canada and MPI MIS (Leipzig), Germany

Dmitri Korotkin

Concordia University (Montreal), Canada

Jonathan Marshall

Imperial College (London), United Kingdom

Christian Mercat

Université de Montpellier II, France

Matt Patterson

University of Washington (Seattle), USA

Markus Schmies

TU Berlin, Germany

Mika Seppälä

Florida State University (Tallahassee), USA

Vasilisa Shramchenko

University of Oxford, United Kingdom

Frank Steiner

Universität Ulm, Germany

Program

May 31, 2006
10:00 - 10:10
10:10 - 10:50 Boris Dubrovin (Sissa Trieste, Trieste, Italy)
11:00 - 11:30
11:30 - 12:10 Jörg Frauendiener (Universität Tübingen, Tübingen, Germany)
Spectral methods and Riemann surfaces
12:20 - 13:00 Markus Schmies (TU Berlin, Berlin, Germany)
Computational Methods for Schottky Uniformization and the Java Oorange Environment
13:00 - 15:00
15:00 - 15:40 Vasilisa Shramchenko (University of Oxford, Oxford, United Kingdom)
Riemann-Hilbert problems on Hurwitz-Frobenius manifolds
15:50 - 16:30
16:30 - 17:00 Darren Crowdy (Imperial College, London, United Kingdom)
Conformal mapping of multiply connected domains: theory and applications
17:10 - 17:40 Jonathan Marshall (Imperial College, London, United Kingdom)
Function theory on the Schottky double
20:00 - 20:00
Jun 1, 2006
10:00 - 10:40 Andrei Bogatyrëv (INM RAS, Moscow, Russia)
Geometry and combinatorics of PS-3 integral equations
10:50 - 11:20
11:20 - 12:00 Mika Seppälä (Florida State University, Tallahassee, USA)
12:10 - 12:50 Christian Mercat (Université de Montpellier II, Montpellier, France)
Discrete Riemann surfaces
13:00 - 15:00
15:00 - 15:40 Peter Buser (EPF Lausanne, Lausanne, Switzerland)
Gaps left by simple closed geodesics on surfaces
15:50 - 16:30
16:30 - 17:00 Viktor Enol'skii (Institute of Magnetism, Kiev, Ukraine)
Towards the Algebro-Geometric Integration of the Bogomolny Equations
17:10 - 17:40 Harry Braden (University of Edinburgh, Edinburgh, United Kingdom)
Monopoles and an identity of Ramanujan
Jun 2, 2006
10:00 - 10:40 Dmitri Korotkin (Concordia University, Montreal, Canada)
Extremal properties of the determinant of the Laplacian in the Bergman metric on the moduli space of genus two Riemann surfaces
10:50 - 11:20
11:20 - 12:00 Alexei Kokotov (Concordia University, Montreal, Canada)
Flat conical metrics on Riemann surfaces and determinants of Laplacians
12:10 - 12:50 Tamara Grava (Sissa Trieste, Trieste, Italy)
Numerical simulation of the small dispersion limit of the KdV equation, Whitham equations and Painleve' equations
13:00 - 15:00
15:00 - 15:40 Frank Steiner (Universität Ulm, Ulm, Germany)
Quantum chaos and the Selberg trace formula on Riemann surfaces
15:50 - 16:30
16:30 - 17:00 Matt Patterson (University of Washington, Seattle, USA)
Computing with Maple on Riemann surfaces arising from algebraic curve
17:10 - 17:40 Martin Hassner (Hitachi, San Jose, USA)
Elliptic Filters and Genera

Participants

Alexander Bobenko

Berlin

Andrei Bogatyrëv

Moscow

Ljudmilla Bordag

Halmstad

Harry Braden

Edinburgh

Peter Buser

Lausanne

Darren Crowdy

London

Boris Dubrovin

Trieste

Viktor Enol'skii

Kiev

Jörg Frauendiener

Tübingen

Tamara Grava

Trieste

Martin Hassner

San Jose

Christian Klein

Leipzig

Alexei Kokotov

Montreal

Dmitri Korotkin

Montreal

Jonathan Marshall

London

Christian Mercat

Montpellier

Matt Patterson

Seattle

Markus Schmies

Berlin

Mika Seppälä

Tallahassee

Vasilisa Shramchenko

Oxford

Frank Steiner

Ulm

Robert Todd

Tallahassee

Scientific Organizers

Alexander Bobenko

Technische Universität Berlin

Christian Klein

Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig

Administrative Contact

Regine Lübke

Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig Contact via Mail