Zagier, Don (2020) Holomorphic quantum modular forms. [Video]
![[thumbnail of Holomorphic quantum modular forms]](https://archive.mpim-bonn.mpg.de/style/images/fileicons/video.png) |
Video (Holomorphic quantum modular forms)
Zagier_HolomorphicQuantumModularForms.HCM2020.mp4 - Presentation Restricted to Inside MPIM network or registered users only Download (831MB) |
Abstract
Quantum modular forms, which occur in connection with many number-theoretical prob-lems but also with quantum invariants of knots, are functions on the rational numbers having asomewhat non-standard weak modularity property. There are also holomorphic functions that havean analogous property and that also occur in connection with quantum invariants of knots as well asin several places in number theory. The talk will try to explain the concept and give several applica-tions and examples, including odd weight Eisenstein series for SL(2,Z) and a simpler interpretation ofthe cohomology classes (”periods”) associated to Maass cusp forms in earlier joint work with RoelofBruggeman and John Lewis.
--
The lecture was held within the framework of the Hausdorff Trimester Program "Dynamics: Topology and Numbers": Conference on “Transfer operators in number theory and quantum chaos”
| Item Type: | Video |
|---|---|
| Subjects: | 1 Discrete mathematics / algebra > 11-XX Number theory |
| Divisions: | Research > Talks |
| Depositing User: | Axel Roenn |
| Date Deposited: | 29 Mar 2021 16:27 |
| Last Modified: | 29 Mar 2021 16:27 |
| URI: | https://archive.mpim-bonn.mpg.de/id/eprint/4514 |
Actions (login required)
 |
View Item |