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Dissipation of Correlations of Automorphic Forms
February 16, 2022 at 16:00 – 17:00 CET
Oberseminar Algebra und Geometrie
Petru Constantinescu (MPIM Bonn)
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.