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

collaborators

4 papers

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.RT2025

Translation functors, branching problems, and applications to the restriction of coherent cohomology of Shimura varieties

Michael Harris, Toshiyuki Kobayashi, Birgit Speh

We study properties of the restriction of discrete series representations of $G = U (p, q)$ to $G^{'} = U (p - 1, q)$ and the corresponding symmetry breaking operators in $\operatorname{Hom}_{…

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.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)

Translation functors, branching problems, and applications to the restriction of coherent cohomology of Shimura varieties

Inductive construction of supercuspidal L-packets

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