Orateur
Adel Betina
Description
I will report on joint work with T. Berger 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). Moreover, we give an application to the Bloch-Kato conjecture. Our technique uses pseudorepresentations of p-adic families of cuspidal Siegel eigenforms and analytic continuation of crystalline periods.
