GAAG seminar - Derivatives of Rankin-Selberg L-functions and heights of generalized Heegner cycles
Event details
| Date | 10.10.2024 |
| Hour | 14:15 › 15:45 |
| Speaker | David Lilienfeldt (University of Leiden) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
In the 1980s, Gross and Zagier obtained a formula expressing the heights of CM points on modular curves in terms of derivatives of certain L-functions, leading to applications towards the Birch and Swinnerton-Dyer conjecture for elliptic curves. In this talk, I will present a formula for the heights of certain algebraic cycles first introduced by Bertolini, Darmon, and Prasanna. This formula generalizes the Gross-Zagier formula to higher dimensions and has applications to the Beilinson-Bloch-Kato conjectures, notably in the case of Jacobians with CM. This is joint work with Ari Shnidman.
Practical information
- Informed public
- Free
Contact
- Laetitia Al-Sulaymaniyin