Eigenvarieties for non-cuspidal Siegel modular forms

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• Giovanni Rosso (University of Cambridge)
• Tuesday 20 October 2015, 14:15-15:15
• MR13.

If you have a question about this talk, please contact Jack Thorne.

In a recent work Andreata, Iovita, and Pilloni constructed the eigenvariety for cuspidal Siegel modular forms. This eigenvariety has the expected dimension (the genus of the Siegel forms) but it parametrizes only cuspidal forms. We explain how to generalize the construction to the non-cuspidal case. To be precise, we introduce the notion of “degree of cuspidality” and we construct an eigenvariety that parametrizes forms of a given degree of cuspidability. The dimension of these eigenvarieties depends on the degree of cuspidality we want to consider: the more non-cuspidal the forms, the smaller the dimension. This is a joint work with Riccardo Brasca.

This talk is part of the Number Theory Seminar series.

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