BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Peter Neamti (University College Dublin) DTSTART:20260706T200000Z DTEND:20260706T210000Z DTSTAMP:20260622T220929Z UID:CarletonOttawaNT/76 DESCRIPTION:Title: A proof of the p-adic Gross-Zagier theorem\nby Peter Neamti (University College Dublin) as part of Carleton-Ottawa Number Theory semin ar\n\nInteractive livestream: https://uottawa-ca.zoom.us/j/95724297776\nPa ssword hint: Please contact the organizers for the password.\nLecture held in 664.\n\nAbstract\nThe celebrated Gross-Zagier theorem is one of the mo st important results in modern number theory\, providing strong evidence f or the Birch and Swinnerton-Dyer conjecture. It relates the central deriva tive of the L-function attached to an elliptic curve to the height of a He egner point on that curve. Its p-adic analogue relates the derivative of a p-adic L-function attached to a modular form to the p-adic height of the associated Heegner cycle. Historically\, proofs of Gross-Zagier formulae h ave relied heavily on an intricate comparison of geometric and analytic ke rnels. In this talk\, I will present a joint work with my supervisor\, Kaz im Büyükboduk\, in which we give a new proof of the p-adic Gross-Zagier formula. Our approach is very different from the classical approach and ce ntres around a comparison of Beilinson-Flach elements and Heegner cycles. We recover already known cases of the p-adic Gross-Zagier theorem\, and ex tend it to new (non-ordinary) scenarios.\n LOCATION:https://researchseminars.org/talk/CarletonOttawaNT/76/ URL:https://uottawa-ca.zoom.us/j/95724297776 END:VEVENT END:VCALENDAR