Abstract: I will report on joint work with Adel Betina studying the geometry of Siegel eigenvarieties. Under certain assumptions we show that they are smooth at points corresponding to Saito-Kurokawa lifts when the tame level is paramodular, but singular when it is Gamma_0(N). Our technique uses pseudorepresentations of p-adic families of cuspidal Siegel eigenforms and continuation of crystalline periods.
Geometry of Siegel eigenvarieties at Saito-Kurokawa points
29.01.2019 13:15 - 14:45
Organiser:
H. Grobner, A. Minguez-Espallargas, A. Mellit
Location: