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math.NT2025
Higher Hida theory for Drinfeld modular curves
Daniel Barrera Salazar, Héctor del Castillo, Giovanni Rosso
Inspired by the construction of Higher Hida theory of Boxer and Pilloni, we develop Higher Hida theory for the cohomology of the line bundles of Drinfeld modular forms on the Drinf…
math.NT2024
On Kim's Assumption A over function fields
Héctor del Castillo, Luis Lomelí
We prove Kim's Assumtion A for the split classical groups in positive characteristic. Actually, we work in the slightly more general setting of groups of classical kind, which incl…
math.NT2022
Langlands functoriality conjecture for in positive characteristic
Héctor del Castillo
In this article, we are concerned with the Langlands functoriality conjecture. Cogdell, Kim, Piatetski-Shapiro and Shahidi proved functioriality conjecture in the case of a globall…