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SUMMARY:Eigenvarieties for non-cuspidal Siegel modular forms - Giovanni Ro
 sso (University of Cambridge)
DTSTART:20151020T131500Z
DTEND:20151020T141500Z
UID:TALK61447@talks.cam.ac.uk
CONTACT:Jack Thorne
DESCRIPTION:In a recent work Andreata\, Iovita\, and Pilloni constructed t
 he eigenvariety for cuspidal Siegel modular forms. This eigenvariety has t
 he 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 c
 uspidality" and we construct an eigenvariety that parametrizes forms of a 
 given degree of cuspidability. The dimension of these eigenvarieties depen
 ds 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.
LOCATION:MR13
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