M. Harris

activity

20232025

most citedOn the generalized Ramanujan and Arthur conjectures over function fields

1 citations · 1 across the 6 of their papers we have counts for

collaborators

Showing 2025Show all

4 papers · 1 filter

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

Factorization of periods, construction of automorphic motives and Deligne's conjecture over CM-fields

Harald Grobner, Michael Harris, Jie Lin

The present paper is devoted to the relations between Deligne's conjecture on critical values of motivic $L$ -functions and the multiplicative relations between periods of arithmeti…

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…

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

Factorization of periods, construction of automorphic motives and Deligne's conjecture over CM-fields

Inductive construction of supercuspidal L-packets

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

Inductive construction of supercuspidal $L$ -packets