Geodesic
A proof of the linear Arithmetic Fundamental Lemma for $ \operatorname {{\mathrm {GL}}}_4$
Canadian journal of mathematics, Tome 74 (2022) no. 2, pp. 381-427

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DOI

Let $K/F$ be an unramified quadratic extension of a non-Archimedean local field. In a previous work [1], we proved a formula for the intersection number on Lubin–Tate spaces. The main result of this article is an algorithm for computation of this formula in certain special cases. As an application, we prove the linear Arithmetic Fundamental Lemma for $ \operatorname {{\mathrm {GL}}}_4$ with the unit element in the spherical Hecke Algebra.
DOI : 10.4153/S0008414X20000814
Mots-clés : Double structures, orbital integral, L-function, integration 
Li, Qirui. A proof of the linear Arithmetic Fundamental Lemma for $ \operatorname {{\mathrm {GL}}}_4$. Canadian journal of mathematics, Tome 74 (2022) no. 2, pp. 381-427. doi: 10.4153/S0008414X20000814
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     journal = {Canadian journal of mathematics},
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     year = {2022},
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