Institute of Mathematics Jena

Summer School

Spectral Theory
of
Schrödinger Operators

Jena, July 31 - August 3, 2018

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Edgar Assing (University of Bristol)
Laplace eigenfunctions in towers of arithmetic manifolds


We will talk about the asymptotic behaviour of Laplace eigenfunctions traversing a tower of arithmetic manifolds.  More precisely, we are interested in the size of Maaß forms as the 'complexity' of the underlying manifold increases. We will discover several features that also appear in the large eigenvalue limit.