PERFECTOID DRINFELD MODULAR FORMS

Marc-Hubert Nicole (1) , Giovanni Rosso (2)

1 I2M - Institut de Mathématiques de Marseille
2 Concordia University [Montreal]

In the first part, we revisit the theory of Drinfeld modular curves and π-adic Drinfeld modular forms for GL(2) from the perfectoid point of view. In the second part, we review open problems for families of Drinfeld modular forms for GL(N)

Domaines: Théorie des nombres [math.NT]; Géométrie algébrique [math.AG]

Marc-Hubert Nicole, Giovanni Rosso. PERFECTOID DRINFELD MODULAR FORMS. 2020. ⟨hal-02528893v1⟩