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Dissipation of Correlations of Automorphic Forms

February 16 at 16:0017:00 CET

Oberseminar Algebra und Geometrie

Petru Constantinescu (MPIM Bonn)

Abstract:
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.

Details

Date:
February 16
Time:
16:00 – 17:00 CET
Website:
https://www.uni-frankfurt.de/49952640/Aktuelles

Venue

Frankfurt and Zoom

Organizers

Riccardo Zuffetti
Martin Möller
Jakob Stix
Martin Ulirsch
Annette Werner
Alex Küronya