Derivatives of Rankin-Selberg L-functions and heights of generalized Heegner cycles

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• David Lilienfeldt (Leiden)
• Tuesday 10 June 2025, 13:00-14:00
• MR12.

If you have a question about this talk, please contact Jef Laga.

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.

This talk is part of the Number Theory Seminar series.

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