On the partial derivatives of Drinfeld modular forms of arbitrary rank

Abstract: In the 1980's, the study of Drinfeld modular forms for the rank 2 setting was initiated by Goss. Recently, by the contributions of Basson, Breuer, Häberli, Gekeler, Pink et. al., the theory of Drinfeld modular forms has been successfully generalized to the arbitrary rank setting. In this talk, we introduce an analogue of the Serre derivation acting on the product of spaces of Drinfeld modular forms of rank r>1, which also generalizes the differential operator introduced by Gekeler in the rank two case. This is joint work with Oğuz Gezmiş.

algebraic geometrynumber theory

Audience: researchers in the topic

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FGC-HRI-IPM Number Theory Webinars

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