3 papers
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 LomelÃ
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.RT2024
On generic representations of quasi-split reductive groups over local fields of positive characteristic
Héctor del Castillo, Guy Henniart, Luis LomelÃ
Let be a locally compact non-Archimedean field, and a connected quasi-split reductive group over . We are interested in complex irreducible smooth generic representa…