| 書目名稱 | p-Adic Automorphic Forms on Shimura Varieties | | 編輯 | Haruzo Hida | | 視頻video | http://file.papertrans.cn/765/764395/764395.mp4 | | 概述 | Includes supplementary material: | | 叢書名稱 | Springer Monographs in Mathematics | | 圖書封面 |  | | 描述 | In the early years of the 1980s, 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 10 to 15 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 15 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 2000 at the Emile Borel Center (Centre Emile Borel) at the Poincare Institute in Paris, I | | 出版日期 | Book 2004 | | 關(guān)鍵詞 | Grad; algebraic curve; algebraic geometry; deformation theory; modular form; number theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-9390-0 | | isbn_softcover | 978-1-4419-1923-6 | | isbn_ebook | 978-1-4684-9390-0Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer Science+Business Media New York 2004 |
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