Arbeitsgemeinschaft: Higher Gross Zagier Formulas
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Period02 Apr - 08 Apr 2017
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.