Analytic functions on the boundary of the Drinfeld tower (II)

Speaker: Gabriel Dospinescu ，CNRS & Université de Clermont-Auvergne         

Inviter: Yongquan Hu

Title: Analytic functions on the boundary of the Drinfeld tower (II)

Language: English 

Time & Venue: 2026.09.18   11:00-12:00   MCM110

Abstract: In this second talk, I present joint work with Benjamin Fleriault. We give an explicit geometric realization of the global sections of Colmez's sheaf attached to a rank-2 supercuspidal étale (φ, Γ)-module, in terms of the de Rham complex of the Drinfeld half-plane coverings. This partially confirms the Dospinescu–Le Bras conjecture. We conclude with its compatibility with the p-adic local Langlands program and further generalizations.