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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: Prime geodesics and spectral theory

Presented by Yiannis Petridis, University College London (UK)

12 January 2009 16:15 in CM221

There is an analogy between prime numbers and lengths of (prime) geodesics in hyperbolic manifolds. We discuss the distribution of these lengths and its refinements when we impose (co)homological restrictions. The Selberg trace formula is a good tool for such investigations. It relates these lengths to the eigenvalues of the Laplace operator. We will explain why this is so and what seem to be the limits of the analogies with prime numbers.

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