MathematischeGesellschaft Thermodynamic formalism and cohomology for resonance states of Laplace--Beltrami operators |  |  |
Speaker:Prof. Dr. Anke Pohl, Universität Bremen
Organizer:Mathematisches Institut
Details:
Since several years it is known that certain discretizations for the geodesic flow on hyperbolic surfaces of \emph{finite area} allow to provide a dynamical characterizations of Maass cusp forms and a transfer-operator-based construction of their period functions. An important ingredient for these results is the characterization of Laplace eigenfunctions in parabolic cohomology by Bruggeman--Lewis--Zagier.
We discuss an extension of these results to Hecke triangle surfaces of \emph{infinite area} and Laplace eigenfunctions that are more general than Maass cusp forms. This is joint work with R. Bruggeman.
We discuss an extension of these results to Hecke triangle surfaces of \emph{infinite area} and Laplace eigenfunctions that are more general than Maass cusp forms. This is joint work with R. Bruggeman.
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Type:Colloquium
Language:English
Category:Research
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