Arithmetic transfer for inner forms of $GL_{2n}$

Andreas Mihatsch; Qirui Li

Arithmetic transfer for inner forms of $GL_{2n}$

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arxiv 2307.11716 v2 pith:QQNVRDKU submitted 2023-07-21 math.NT math.AGmath.RT

Qirui Li , Andreas Mihatsch This is my paper · ORCID

classification math.NTmath.AGmath.RT

keywords conjecturesarithmeticformsinnertransferalgebrasconfirmdivision

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abstract

We formulate Guo--Jacquet type fundamental lemma conjectures and arithmetic transfer conjectures for inner forms of $GL_{2n}$. Our main results confirm these conjectures for division algebras of invariant $1/4$ and $3/4$.

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A Proof of the Biquadratic Linear AFL for GL(4)
math.NT 2025-05 conditional novelty 7.0 of 10

The biquadratic Guo-Jacquet and linear arithmetic fundamental lemmas for GL(4) with the unit Hecke function are proved by reduction to the coquadratic GL(2) case.

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