More Arithmetic Fundamental Lemma conjectures: the case of Bessel subgroups

2021/08/04 by Zhang, Wei · 1 citation
#11F67 #11F70 #11G18 #14G35 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2108.02086

Abstract

We define some formal moduli space of quasi-isogenies of isoclinic p-divisible groups with a non-reductive group as the "structure group". We then formulate new Arithmetic Fundamental Lemma conjectures for Bessel subgroups in the context of the arithmetic Gan-Gross-Prasad conjectures. Some (very limited) evidence is presented.

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