GÖRAN GUSTAFSSON Lectures


May 20 - 24, 2005 KTH, Stockholm


Speaker:

Peter Sarnak, Princeton

ABSTRACT

"Quantum chaos and spectra of locally symmetric spaces I"

Quantum Chaos is concerned with the study of the quantization of a classically chaotic hamiltonian and its semi- classical limit.Most of what is known about this consists of numerical experiments and heuristics. We give an introduction to this subject and then discuss the special case where the classical mechanics is the geodesic motion on a hyperbolic arithmetic manifold. Recent developments in the theory of automorphic forms, their zeta functions and ergodic theory allow for the resolution of the basic problems in these cases.

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2005-01-11

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