arXiv subjects

J. E. Rodríguez Camargo

Publications and source records attributed to J. E. Rodríguez Camargo.

2 recordsLinked to original sources

arXiv2026

Locally analytic completed cohomology

We compute the geometric Sen operator for arbitrary Shimura varieties in terms of equivariant vector bundles of flag varieties and the Hodge-Tate period map. As an application, we obtain the rational vanishing of completed cohomology in the Calegari-Emerton conjectures.

math.NT↗

arXiv2025

Geometric Sen theory over rigid analytic spaces

In this work we develop geometric Sen theory for rigid analytic spaces, generalizing the previous work of Pan for curves. We also extend the axiomatic Sen-Tate formalism of Berger-Colmez to a certain class of locally analytic representations.

math.NT↗