Derived Hecke action for weight one modular forms via classicality

Abstract: It is known that a p-adic family of modular forms does not necessarily specialize into a classical modular form at weight one, unlike the modular forms of weight 2 or higher. We will explain how this "obstruction to classicality" leads to a derived action on modular forms of weight one, which can also be understood as the so-called derived Hecke operator at p. We will discuss the role of the derived action in the study of p-adic periods of the adjoint of the weight one modular forms.

algebraic geometrynumber theory

Audience: researchers in the topic

MIT number theory seminar

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