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SUMMARY:Derivatives of Rankin-Selberg L-functions and heights of generaliz
 ed Heegner cycles - David Lilienfeldt (Leiden)
DTSTART:20250610T120000Z
DTEND:20250610T130000Z
UID:TALK230920@talks.cam.ac.uk
CONTACT:Jef Laga
DESCRIPTION:In the 1980s\, Gross and Zagier obtained a formula expressing 
 the heights of CM points on modular curves in terms of derivatives of cert
 ain L-functions\, leading to applications towards the Birch and Swinnerton
 -Dyer conjecture for elliptic curves. In this talk\, I will present a form
 ula for the heights of certain algebraic cycles first introduced by Bertol
 ini\, Darmon\, and Prasanna. This formula generalizes the Gross-Zagier for
 mula to higher dimensions and has applications to the Beilinson-Bloch-Kato
  conjectures\, notably in the case of Jacobians with CM. This is joint wor
 k with Ari Shnidman.
LOCATION:MR12
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