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arXiv · 1406.7764

An Arithmetic Transfer Identity

Andreas Mihatsch
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Abstract

We prove a variant of the Arithmetic Fundamental Lemma conjecture of Wei Zhang for n=2. More precisely, we consider the deformation lengths of certain quasi-homomorphisms of quasi-canonical lifts in the sense of Gross. We prove the existence of a test function on a symmetric space related to GL_2 whose orbital integrals over GL_1 equal the deformation lengths in question.

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Andreas Mihatsch. 2015-02-25. An Arithmetic Transfer Identity. https://arxiv.org/abs/1406.7764

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