Arbeitsgemeinschaft: Higher Gross Zagier Formulas

Abstract

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.