The primary subject of this learn monograph is the relation among p-adic modular kinds and p-adic Galois representations, and specifically the idea of deformations of Galois representations lately brought by means of Mazur. The classical conception of modular types is believed identified to the reader, however the p-adic thought is reviewed intimately, with considerable intuitive and heuristic dialogue, in order that the ebook will function a handy aspect of access to investigate in that quarter. the implications at the U operator and on Galois representations are new, and may 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 e-book will hence be of curiosity to quantity theorists who desire to find out about p-adic modular kinds, best them quickly to fascinating study, and in addition to the experts within the topic.
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