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math.NT2025
A Proof of the Biquadratic Linear AFL for GL(4)
Qirui Li
We prove both the biquadratic Guo--Jacquet Fundamental Lemma (FL) and the biquadratic linear Arithmetic Fundamental Lemma (AFL) for GL(4) with the unit test function. Our approach…
math.NT2024
Intersections in Lubin-Tate space and biquadratic fundamental lemmas
Benjamin Howard, Qirui Li
We compute the intersection multiplicities of special cycles in Lubin-Tate spaces, and formulate a new arithmetic fundamental lemma relating these intersections to derivatives of o…