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MathematischeGesellschaft
Thermodynamic formalism and cohomology for resonance states of Laplace--Beltrami operators
4.7.2019, 16:15 - 17:15
Speaker:Prof. Dr. Anke Pohl, Universit├Ąt Bremen
Location:Mathematisches Institut, Bunsenstr 3-5SitzungszimmerGras Geo Map
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.
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Type:Colloquium
Language:English
Category:Research
Contact:Annalena Wendehorst0551-3927752annalena.wendehorst@mathematik.uni-goettingen.de
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