Topics

These systems are among the first examples in the field of quantum chaos and have been studied in great detail. Their classical and quantum descriptions employ methods from dynamical systems, ergodic theory, hyperbolic geometry, number theory, spectral theory, microlocal analysis and other areas of mathematics. Large scale numerical calculations have been performed leading to new insight as well as to precise tests of various conjectures. Of particular interest are spectral correlations and the semiclassical behaviour of Laplace-eigenfunctions.

This school is intended for graduate students, postdocs and young researchers. Basic lectures will provide the concepts underlying past and recent developments in the field while more advanced lectures introduce areas currently under active study. The lectures will be given by both mathematicians and theoretical physicists, reflecting the close interaction between these disciplines.

The school is the second in the series organised by the Research Training Network "Mathematical Aspects of Quantum Chaos" and funded by the European Commission. The first school was held in 2001 in Bologna.

Lecturers

• E. Bogomolny (Orsay) : Arithmetic quantum chaos
• P. Buser (Lausanne) : Hyperbolic geometry, Fuchsian groups and Riemann surfaces
• D. Hejhal (Uppsala/Minneapolis) : Maass waveforms, computational aspects
• J. Marklof (Bristol) : Selberg's trace formula. An introduction
• D. Mayer (Clausthal) : Transfer operators, Selberg's zeta function and the Lewis-Zagier theory of period functions
• M. Pollicott (Manchester) : Ergodic theory, geodesic flows and related topics
• M. Sieber (Bristol) : Semiclassical theory for spectral correlation functions

Wissenschaftszentrum Schloss Reisensburg Bürgermeister-Johann-Müller-Strasse 1 D-89312 Günzburg Phone:   +49 (8221) 907-0 Fax:       +49 (8221) 907-55 How to reach Reisensburg?

Last modified: Mon Mar 2 14:54:17 2009
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