M. Harris

most citedOn the generalized Ramanujan and Arthur conjectures over function fields

1 citations · 1 across the 3 of their papers we have counts for

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math.NT2025

$p$ -adic $L$ -functions for $U (2, 1) \times U (1, 1)$

Michael Harris, Ming-Lun Hsieh, Shunsuke Yamana

We construct the five-variable $p$ -adic $L$ -function attached to Hida families on $U (2, 1) \times U (1, 1)$ , interpolating the square-root of Rankin-Selberg $L$ -values i…

math.NT2025

Inductive construction of supercuspidal $L$ -packets

Raphaël Beuzart-Plessis, Michael Harris, Jack Thorne

Genestier--Lafforgue and Fargues--Scholze have constructed a semisimple local Langlands paramterization for reductive groups over equicharacteristic local fields. Assuming a versio…

math.NT2024

Derived structures in the Langlands Correspondence

Tony Feng, Michael Harris

We survey several recent examples of derived structures emerging in connection with the Langlands correspondence. Cases studies include derived Galois deformation rings, derived He…

math.NT2023★ 1 cited

On the generalized Ramanujan and Arthur conjectures over function fields

Dan Ciubotaru, Michael Harris

Let $G$ be a simple group over a global function field $K$ , and let $π$ be a cuspidal automorphic representation of $G$ . Suppose $K$ has two places $u$ and $v$ (satisfying a mild r…

p-adic L-functions for U(2,1)×U(1,1)

Inductive construction of supercuspidal L-packets

Derived structures in the Langlands Correspondence

On the generalized Ramanujan and Arthur conjectures over function fields

$p$ -adic $L$ -functions for $U (2, 1) \times U (1, 1)$

Inductive construction of supercuspidal $L$ -packets