Coleman deformasyonları için genişletilmiş Selmer grupları üzerine

In 2017, Bharathwaj Palvannan proved a factorization formula involving Selmer groups, predicted by the main conjectures of Iwasawa theory for several Galois representations, corresponding to a factorization formula involving p-adic L-functions proved by Samit Dasgupta in 2014. Bharathwaj Palvannan started with the Galois representation associated to a Hida family that satis es a highly restrictive ordinariness hypothesis, namely Panchiskin condition. The purpose of this thesis is to discuss a potential non-ordinary generalization of Bharathwaj Palvannan's result following Jonathan Pottharst who gave a vast generalization of Panchiskin condition to the non-ordinary setting. Our ultimate goal is to form the extended Selmer groups emerging from the non-ordinary Galois representation attached to a Coleman family.