Dissipation of correlations of automorphic forms
Event details
| Date | 19.10.2022 |
| Hour | 14:15 › 16:00 |
| Speaker | Petru Constantinescu (EPFL) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
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. The first half of the talk will be a gentle introduction to the area of quantum ergodicity in number theory, aimed for a general graduate audience. In the second half I will highlight some ingredients in the proof.
Practical information
- Informed public
- Free
Organizer
- Philippe Michel
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)