3 papers
math.NT2026
A Jacquet-Langlands functor for -adic locally analytic representations
Gabriel Dospinescu, Juan Esteban RodrÃguez 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.NT2026
On the de Rham flip-flopping in dual towers
Gabriel Dospinescu, WiesÅawa NizioÅ
We prove a version of de Rham and Hyodo-Kato flip-flopping for dual towers of rigid analytic spaces including those coming from dual basic local Shimura varieties. The main tool ar…
math.NT2025
On the geometrization of the -adic local Langlands correspondence
Pierre Colmez, Gabriel Dospinescu, WiesÅawa NizioÅ
We survey results related to our geometrization of a part of the -adic local Langlands correspondence for .