activity
20202026
most citedSolid locally analytic representations

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

collaborators

8 papers

math.AG2026

Notes on Solid Geometry

Juan Esteban Rodríguez Camargo

These are expanded notes of a seminar held in Columbia university during the Spring and Fall of 2024 about the theory of analytic stacks of Clausen and Scholze, with a focus in the…

math.AG2025

Cartier duality for gerbes of vector bundles

Juan Esteban Rodríguez Camargo

We prove a Cartier duality for gerbes of algebraic and analytic vector bundles as an anti-equivalence of Hopf algebras in the category of kernels of analytic stacks. As an applicat…

math.AG2025

Analytic de Rham stacks of Fargues-Fontaine curves

Johannes Anschütz, Guido Bosco, Arthur-César Le Bras +2

We define and initiate the study of analytic de Rham stacks of relative Fargues-Fontaine curves. To this end, we develop a theory of analytic de Rham stacks with sufficiently stron…

math.NT2024

A Jacquet-Langlands functor for -adic locally analytic representations

Gabriel Dospinescu, Juan Esteban Rodríguez Camargo

We study the locally analytic theory of infinite level local Shimura varieties. As a main result, we prove that in the case of a duality of local Shimura varieties, the locally ana…

math.AG2024

The analytic de Rham stack in rigid geometry

Juan Esteban Rodríguez Camargo

Applying the new theory of analytic stacks of Clausen and Scholze we introduce a general notion of derived Tate adic spaces. We use this formalism to define the analytic de Rham st…

math.RT2023★ 1 cited

Solid locally analytic representations

Joaquín Rodrigues Jacinto, Juan Esteban Rodríguez Camargo

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