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Hyperbolic surfaces with large first eigenvalue of the Laplacian

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Sugata Mondal
U Paul Sabatier\MPI
Thu, 08/05/2014 - 16:30 - 17:30
MPIM Lecture Hall
Selberg's 1/4 conjecture motivated the question of existence of finite area hyperbolic surfaces with first non-zero eigenvalue of the Laplacian at least 1/4. We shall address this question for closed hyperbolic surfaces and show that it has a positive answer in the case of genus two.
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