Title: Saito-Kurokawa lifts and lower bounds on Selmer groups

Abstract: The Bloch-Kato conjecture for modular forms roughly states that special values of the L-function attached to a modular form should measure the size of the Selmer group attached to twists of the Galois representation associated to the modular form. In this talk we will show how one can use Saito-Kurokawa lifts to give a lower bound on the size of the p-part of the Selmer group associated to a particular twist of the Galois representation by the p-part of the appropriate special value of the L-function given that f and p satisfy some technical conditions.