An Arithmetic Transfer Identity
Number Theory
2015-02-26 v3
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.
Cite
@article{arxiv.1406.7764,
title = {An Arithmetic Transfer Identity},
author = {Andreas Mihatsch},
journal= {arXiv preprint arXiv:1406.7764},
year = {2015}
}