The relevant subject of this study monograph is the relation among p-adic modular varieties and p-adic Galois representations, and specifically the speculation of deformations of Galois representations lately brought by way of Mazur. The classical concept of modular types is thought recognized to the reader, however the p-adic concept is reviewed intimately, with considerable intuitive and heuristic dialogue, in order that the ebook will function a handy element of access to investigate in that sector. the consequences at the U operator and on Galois representations are new, and should be of curiosity even to the specialists. a listing of extra difficulties within the box is integrated to lead the newbie in his examine. The booklet will hence be of curiosity to quantity theorists who desire to know about p-adic modular types, top them speedily to attention-grabbing learn, and likewise to the experts within the topic.
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