High dimensional Gross--Zagier formula: a survey

2024/02/27 by Zhang, Wei
#11F67 #11F70 #11G40 #14C25 #14G35 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2402.17656

Abstract

We survey recent developments on generalizing the Gross--Zagier formula to high dimensional Shimura varieties, with an emphasis on the Arithmetic Gan--Gross--Prasad conjecture and the relative trace formula approach.

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