M. Harris

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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

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

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.NT2025

Inductive construction of supercuspidal $L$ -packets

RaphaÃ«l 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)

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

Derived structures in the Langlands Correspondence

Inductive construction of supercuspidal L-packets

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

Inductive construction of supercuspidal $L$ -packets