Notes on gross-zagier formula pdf
WebGROSS-ZAGIER FORMULA NOTES TAKEN BY MIKE WOODBURY These are notes taken in Tonghai Yang’s course titled “The Gross-Zagier For-mula” at the University of Wisconsin … WebGross-Zagier formula computes L!(1,E /K) as the value of a height function. Given a finite extension k/Q,letM k be the set of all places ofk and let · v be the corresponding …
Notes on gross-zagier formula pdf
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WebTélécharger comme PDF; Version imprimable Wei Zhang. Biographie; Naissance: 18 juillet 1981 (41 ... en plus de Borcherds, sur les travaux de Hirzebruch et Zagier [2], ainsi que ceux de Zagier/Gross/Kohnen (1986/1987). Ses collaborations avec Zhiwei Yun, ... « On p-adic Waldspurger formula ». Notes et références (en) Cet article est ... WebWith this setup, Gross and Zagier proved: Theorem: L ′ ( E / K, 1) = h ^ ( y K) ∬ E ( C) ω ∧ i ω D, where ω is the invariant differential on E (suitably normalized), and D is the discriminant …
Webfor the entire study is a p-adic formula of Gross-Zagier type which relates the images of these diagonal cycles under the p-adic Abel-Jacobi map to special values of certain p-adic L-functions attached to the Garrett-Rankin triple convolution of three Hida families of modular forms. The main goal of this article is to describe and prove this ... Webon Gross{Zagier formula ([YZZ]) which serves as a prototype of the more gen-eral arithmetic restriction problems (stated in e.g., [Zh4]). We then present the relative trace formula …
WebHistory: Gross-Zagier formula A: an elliptic curve over Q: A(Q): nitely generated abelian group. Birch and Swinnerton-Dyer conjecture: rank ZA(Q) = ord s=1L(A;s): Question: If … http://www.mi.uni-koeln.de/%7Ewoodbury/research/GZ-classnotes.pdf
WebWe shall need the Gross–Zagier formula (see [G–Z]) (3.1) d ds L E(s)L E(s,χ d) s=1 = c E P d,P d , where P d,P d is the height pairing of a certain Heegner point P D and c E is an …
WebDec 31, 2024 · David Loeffler, R. Rockwood, Sarah Livia Zerbes. Mathematics. 2024. We prove a “twist-compatibility” result for p-adic families of cohomology classes associated to symmetric spaces. This shows that a single family of classes (lying in a finitely-generated Iwasawa…. Expand. simply wearhttp://www-personal.umich.edu/~asnowden/notes/gz/L01.pdf raz christmas churchhttp://library.msri.org/books/Book49/files/07zhang.pdf raz christmas productsWebSuch a non-critical slope result is precisely Theorem 5.1.1 (p-adic Gross-Zagier formula for non-ordinary eigenforms of arbitrary weight; which is work in progress by Kobayashi [Kob19]). More precisely, Kobayashi’s method only establishes a p-adic Gross{Zagier formula in the non-ordinary case for one of the two p-stabilization raz christmas tree garlandWebIn this notes, we are trying to give an intersection formula of local heights for nonarchimedean places. It closely follows first six sections of part III in Gross-Zagier[3]. If there is any mistake in this notes, it is due to the author’s limited ... Gross-Zagierrevisited. InHeegner points and Rankin L-series, volume49ofMath. Sci. Res. Inst ... simply wealth taxesWebThe aim of this note is to give a survey on recent development of the Gross-Zagier formulas and their applications. The formulas relate the central derivatives (or central values) of … raz characterWebDec 31, 2024 · This formula over \(\mathscr {X}\) (which is an identity of functionals on some universal ordinary automorphic representations) specialises at classical points to all the Gross–Zagier formulas ... razco bino harness holster