Joaquín Rodrigues Jacinto

most citedSolid locally analytic representations

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

collaborators

4 papers

math.RT2026★ 1 cited

Solid locally analytic representations

JoaquÃn Rodrigues Jacinto, Juan Esteban RodrÃguez Camargo

We develop the $p$ -adic representation theory of $p$ -adic Lie groups on solid vector spaces over a complete non-archimedean extension of $Q_{p}$ . More precisely, we define a…

math.NT2024

An introduction to $p$ -adic $L$ -functions

JoaquÃn Rodrigues Jacinto, Chris Williams

These expository notes introduce $p$ -adic $L$ -functions and the foundations of Iwasawa theory. We focus on Kubota--Leopoldt's $p$ -adic analogue of the Riemann zeta function, which…

math.NT2024

Tempered currents and Deligne cohomology of Shimura varieties, with an application to $GSp_{6}$

We provide a new description of Deligne-Beilinson cohomology for any Shimura variety in terms of tempered currents. This is particularly useful for computations of regulators of mo…

math.NT2024

Algebraic cycles and functorial lifts from $G_{2}$ to $PGSp_{6}$

Antonio Cauchi, Francesco Lemma, JoaquÃn Rodrigues Jacinto

We study instances of Beilinson-Tate conjectures for automorphic representations of $PGSp_{6}$ whose Spin $L$ -function has a pole at $s = 1$ . We construct algebraic cycles of…

Solid locally analytic representations

An introduction to p-adic L-functions

Tempered currents and Deligne cohomology of Shimura varieties, with an application to GSp6​

Algebraic cycles and functorial lifts from G2​ to PGSp6​

An introduction to $p$ -adic $L$ -functions

Tempered currents and Deligne cohomology of Shimura varieties, with an application to $GSp_{6}$

Algebraic cycles and functorial lifts from $G_{2}$ to $PGSp_{6}$