Joaquín Rodrigues Jacinto

activity

20172023

most citedSolid locally analytic representations

1 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.RT2023★ 1 cited

Solid locally analytic representations

Joaquín Rodrigues Jacinto, Juan Esteban Rodríguez 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.NT2022★ 1 cited

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

José Ignacio Burgos Gil, Antonio Cauchi, Francesco Lemma +1

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.NT2021

Solid locally analytic representations of $p$ -adic Lie groups

Joaquín Rodrigues Jacinto, Juan Esteban Rodríguez Camargo

We develop the theory of locally analytic representations of compact $p$ -adic Lie groups from the perspective of the theory of condensed mathematics of Clausen and Scholze. As an a…

math.NT2019★ 1 cited

On Higher regulators of Siegel varieties

Antonio Cauchi, Francesco Lemma, Joaquín Rodrigues Jacinto

We construct classes in the middle degree plus one motivic cohomology of the Siegel Shimura variety of almost any dimension. We compute their image by Beilinson's higher regulator…

math.NT2018

Norm-compatible systems of Galois cohomology classes for $GS p_{6}$

Antonio Cauchi, Joaquín Rodrigues Jacinto

We construct global cohomology classes in the middle degree cohomology of the Shimura variety of the symplectic group $GS p_{6}$ compatible when one varies the level at $p$ . These cla…

math.NT2017

Arithmetic families of (φ, Γ)-modules and locally analytic representations of GL_2(Q_p)

Ildar Gaisin, Joaquin Rodrigues Jacinto

We propose a p-adic Langlands correspondence in families.

Solid locally analytic representations

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

Solid locally analytic representations of p-adic Lie groups

On Higher regulators of Siegel varieties

Norm-compatible systems of Galois cohomology classes for GSp6​

Arithmetic families of (φ, Γ)-modules and locally analytic representations of GL_2(Q_p)

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

Solid locally analytic representations of $p$ -adic Lie groups

Norm-compatible systems of Galois cohomology classes for $GS p_{6}$