P-Adic Automorphic Forms on Shimura Varieties (Rating: 3.44 - 3764 votes)

P-Adic Automorphic Forms on Shimura Varieties - Read Online or Download P-Adic Automorphic Forms on Shimura Varieties by Matt Gazas Book For Free. Available forma: PDF, TXT , ePub , PDB , RTF, Audio Books Haruzo Hida full text booksTitle | : | P-Adic Automorphic Forms on Shimura Varieties |

Format Type | : | Ebook |

Author | : | Haruzo Hida |

Publisher | : | Springer |

ISBN | : | 0387207112 |

ISBN 13 | : | |

Number of Pages | : | 390 |

Category | : | Manga |

PDF, EPUB, MOBI, TXT, DOC P-Adic Automorphic Forms on Shimura Varieties In the early years of the s while I was visiting the Institute for Ad vanced Study lAS at Princeton as a postdoctoral member I got a fascinating view studying congruence modulo a prime among elliptic modular forms that an automorphic L function of a given algebraic group G should have a canon ical p adic counterpart of several variables I immediately decided to find out the reason behind this phenomenon and to develop the theory of ordinary p adic automorphic forms allocating to years from that point putting off the intended arithmetic study of Shimura varieties via L functions and Eisenstein series for which I visited lAS Although it took more than years we now know at least conjecturally the exact number of variables for a given G and it has been shown that this is a universal phenomenon valid for holomorphic automorphic forms on Shimura varieties and also for more general nonholomorphic cohomological automorphic forms on automorphic manifolds in a markedly different way When I was asked to give a series of lectures in the Automorphic Semester in the year at the Emile Borel Center Centre Emile Borel at the Poincare Institute in Paris I chose to give an exposition of the theory of p adic ordinary families of such automorphic forms p adic analytically de pending on their weights and this book is the outgrowth of the lectures given there