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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.NT2024
On the geometrization of the -adic local Langlands correspondence
Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł
We survey results related to our geometrization of a part of the -adic local Langlands correspondence for .