Derived Hecke action for weight one modular forms via classicality

Gyujin Oh, Columbia University
IAS - Simonyi Hall Seminar Room SH-101

*Note time change* 

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 be understood as the so-called derived Hecke operator at p. We will also investigate the role of the derived action in the study of p-adic periods of the adjoint of the weight one modular forms.


Meeting ID:  920 2195 5230

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