Constructs small parabolic eigenvarieties for genus-2 Siegel cuspforms, introduces refined symplectic Galois families, proves infinitesimal R=T, and links eigenvariety geometry at Saito-Kurokawa points to Selmer groups.
‘Galois representations attached to automorphic forms onGL 2 over CM fields’
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Families of symplectic Galois representations over small parabolic eigenvarieties for Siegel cuspforms of genus $2$
Constructs small parabolic eigenvarieties for genus-2 Siegel cuspforms, introduces refined symplectic Galois families, proves infinitesimal R=T, and links eigenvariety geometry at Saito-Kurokawa points to Selmer groups.