The Birch and Swinnerton-Dyer formula in analytic ranks zero and one for modular forms of higher weight
Event details
| Date | 26.09.2023 |
| Hour | 14:15 › 16:00 |
| Speaker | Dimitar Jetchev (EPFL) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
In this talk, I will report on recent results on the computation of the p-part of the leading term of the L-function of a modular form of arbitrary weight at the central point in the cases when the order of vanishing is at most one. Unlike the classical case of weight 2 modular forms, qualitatively different arguments are needed in the higher-weight case. After explaining the difference, I will indicate how one can use level-raising and (non-ordinary) p-adic deformations together with some of the arguments in weight 2 to obtain results in the case of general weights. This is joint work with Chris Skinner and Xin Wan.
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)