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Article

Horocycles, a section of Arbeitsgemeinschaft : Higher Gross-Zagier Formulas

Oberwolfach Reports. 2017. Vol. 14. No. 2. P. 1067-1134.

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 PGL2 over a function field to the self-intersection number of a certain algebraic cycle on the moduli stack of Shtukas.