Oberwolfach Reports

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Volume 14, Issue 2, 2017, pp. 1067–1134
DOI: 10.4171/OWR/2017/18

Published online: 2018-04-27

Arbeitsgemeinschaft: Higher Gross Zagier Formulas

Zhiwei Yun[1] and Wei Zhang[2]

(1) Stanford University, USA
(2) Columbia University, New York, USA

The aim of this Arbeitsgemeinschaft is to go over the proof of the higher Gross–Zagier formula established in the paper [YZ15]. 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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Yun Zhiwei, Zhang Wei: Arbeitsgemeinschaft: Higher Gross Zagier Formulas. Oberwolfach Rep. 14 (2017), 1067-1134. doi: 10.4171/OWR/2017/18