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Working session: Higher Gross Zagier formulas. Abstracts from the workshop held April 2--8, 2017 - MaRDI portal

Working session: Higher Gross Zagier formulas. Abstracts from the workshop held April 2--8, 2017 (Q1644813)

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scientific article; zbMATH DE number 6893092
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English
Working session: Higher Gross Zagier formulas. Abstracts from the workshop held April 2--8, 2017
scientific article; zbMATH DE number 6893092

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    Working session: Higher Gross Zagier formulas. Abstracts from the workshop held April 2--8, 2017 (English)
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    22 June 2018
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    Summary: The aim of this Arbeitsgemeinschaft is to go over the proof of the higher Gross-Zagier formula established in the paper [\textit{Z. Yun} and \textit{W. Zhang}, Ann. Math. (2) 186, No. 3, 767--911 (2017; Zbl 1385.11032)]. The formula relates arbitrary order central derivative of the base change \(L\)-function of an unramifed automorphic representation of PGL\(_2\) over a function field to the self-intersection number of a certain algebraic cycle on the moduli stack of Shtukas.
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