CORDIS Project
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This project aims to prove a mathematical formula related to p-adic L-functions associated with modular forms. It involves interpolating Heegner cycles and constructing two-variable p-adic L-functions to establish a connection between p-adic elements and Heegner points.
The main objective of this project is to prove a p-adic Gross-Zagier formula for the critical slope p-adic L-functions attached to p-ordinary modular forms.
As we will explain in the main body of this proposal, such a formula will lead, among other things, to a full proof of a conjecture of Perrin-Riou (that gives a precise comparison between p-adic Beilinson-Kato elements and Heegner points).
Our approach will rely heavily on the theme of p-adic variation and will consist of three major steps (…
UNIVERSITY COLLEGE DUBLIN, NATIONAL UNIVERSITY OF IRELAND, DUBLIN
Partner organizations (coordinator is shown above), with normalized type and CORDIS activity type. Guests see up to 4 partners.
United States, Cambridge
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
Türkiye, Istanbul
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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