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Speaker:
Petru Constantinescu
Affiliation:
EPFL
Date:
Tue, 25/04/2023 - 16:30 - 17:00
Location:
MPIM Lecture Hall Mass equidistribution of eigenfunctions is a central topic in quantum chaos and number theory. In this talk we highlight a generalisation of the Quantum Unique Ergodicity for holomorphic cusp forms in the weight aspect. We show that correlations of masses coming from off-diagonal terms dissipate as the weight tends to infinity. This corresponds to classifying the possible quantum limits along any sequence of Hecke eigenforms of increasing weight.
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