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Author : Emily Ruth Petrie
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.E/5 ( download)
Download or read book Convergence of Power Series Invariants for Families of P-adic Galois Representations written by Emily Ruth Petrie and published by . This book was released on 1990 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joël Bellaïche
Publisher : Springer Nature
ISBN 13 : 3030772632
Total Pages : 319 pages
Book Rating : 4.0/5 (37 download)
Download or read book The Eigenbook written by Joël Bellaïche and published by Springer Nature. This book was released on 2021-08-11 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them. These theories and their generalizations to automorphic forms for group of higher ranks are of fundamental importance in number theory. For graduate students and newcomers to this field, the book provides a solid introduction to this highly active area of research. For experts, it will offer the convenience of collecting into one place foundational definitions and theorems with complete and self-contained proofs. Written in an engaging and educational style, the book also includes exercises and provides their solution.
Author : Jean-Pierre Serre
Publisher : CRC Press
ISBN 13 : 1439863865
Total Pages : 203 pages
Book Rating : 4.4/5 (398 download)
Download or read book Abelian l-Adic Representations and Elliptic Curves written by Jean-Pierre Serre and published by CRC Press. This book was released on 1997-11-15 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developments on the Taniyama-Weil conjecture and Fermat's Last Theorem. The initial chapters are devoted to the Abelian case (complex multiplication), where one
Author : Cornell University. Department of Mathematics
Publisher :
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.E/5 ( download)
Download or read book Annual Report written by Cornell University. Department of Mathematics and published by . This book was released on 1988 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kiran S. Kedlaya
Publisher : Cambridge University Press
ISBN 13 : 1139489208
Total Pages : 399 pages
Book Rating : 4.1/5 (394 download)
Download or read book p-adic Differential Equations written by Kiran S. Kedlaya and published by Cambridge University Press. This book was released on 2010-06-10 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to number theory and to computer science. This book, the first comprehensive and unified introduction to the subject, improves and simplifies existing results as well as including original material. Based on a course given by the author at MIT, this modern treatment is accessible to graduate students and researchers. Exercises are included at the end of each chapter to help the reader review the material, and the author also provides detailed references to the literature to aid further study.
Author :
Publisher :
ISBN 13 :
Total Pages : 896 pages
Book Rating : 4.3/5 (91 download)
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1995 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 960 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2007 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 916 pages
Book Rating : 4.:/5 (318 download)
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1991 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark Kisin
Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.:/5 (398 download)
Download or read book Local Constancy in P-adic Families of Galois Representations written by Mark Kisin and published by . This book was released on 1998 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. A. Panchishkin
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (462 download)
Download or read book P-adic Families of Motives, Galois Representations, an L-functions written by A. A. Panchishkin and published by . This book was released on 1992 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aleksej Alekseevič Pančiškin
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (11 download)
Download or read book p-adic families of motives, Galois representations, and L-functions written by Aleksej Alekseevič Pančiškin and published by . This book was released on 1992 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Farrell Brumley
Publisher : American Mathematical Soc.
ISBN 13 : 147043573X
Total Pages : 394 pages
Book Rating : 4.4/5 (74 download)
Download or read book Around Langlands Correspondences written by Farrell Brumley and published by American Mathematical Soc.. This book was released on 2017 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent developments in the Langlands program. Special emphasis is placed on nonclassical versions of the conjectural Langlands correspondences, where the underlying field is no longer the complex numbers.
Author : D. Bump
Publisher : Springer
ISBN 13 : 3540390553
Total Pages : 196 pages
Book Rating : 4.5/5 (43 download)
Download or read book Automorphic Forms on GL (3,TR) written by D. Bump and published by Springer. This book was released on 2006-12-08 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Scholze
Publisher : Princeton University Press
ISBN 13 : 0691202095
Total Pages : 260 pages
Book Rating : 4.6/5 (912 download)
Download or read book Berkeley Lectures on P-adic Geometry written by Peter Scholze and published by Princeton University Press. This book was released on 2020-05-26 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his discovery of perfectoid spaces, Scholze introduced the concept of “diamonds,” which are to perfectoid spaces what algebraic spaces are to schemes. The introduction of diamonds, along with the development of a mixed-characteristic shtuka, set the stage for a critical advance in the discipline. In this book, Peter Scholze and Jared Weinstein show that the moduli space of mixed-characteristic shtukas is a diamond, raising the possibility of using the cohomology of such spaces to attack the Langlands conjectures for a reductive group over a p-adic field. This book follows the informal style of the original Berkeley lectures, with one chapter per lecture. It explores p-adic and perfectoid spaces before laying out the newer theory of shtukas and their moduli spaces. Points of contact with other threads of the subject, including p-divisible groups, p-adic Hodge theory, and Rapoport-Zink spaces, are thoroughly explained. Berkeley Lectures on p-adic Geometry will be a useful resource for students and scholars working in arithmetic geometry and number theory.
Author : Fabrizio Andreatta
Publisher : American Mathematical Soc.
ISBN 13 : 0821836099
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)
Download or read book Hilbert Modular Forms: mod $p$ and $p$-Adic Aspects written by Fabrizio Andreatta and published by American Mathematical Soc.. This book was released on 2005 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study Hilbert modular forms in characteristic $p$ and over $p$-adic rings. In the characteristic $p$ theory we describe the kernel and image of the $q$-expansion map and prove the existence of filtration for Hilbert modular forms; we define operators $U$, $V$ and $\Theta_\chi$ and study the variation of the filtration under these operators. Our methods are geometric - comparing holomorphic Hilbert modular forms with rational functions on a moduli scheme with level-$p$ structure, whose poles are supported on the non-ordinary locus.In the $p$-adic theory we study congruences between Hilbert modular forms. This applies to the study of congruences between special values of zeta functions of totally real fields. It also allows us to define $p$-adic Hilbert modular forms 'a la Serre' as $p$-adic uniform limit of classical modular forms, and compare them with $p$-adic modular forms 'a la Katz' that are regular functions on a certain formal moduli scheme. We show that the two notions agree for cusp forms and for a suitable class of weights containing all the classical ones. We extend the operators $V$ and $\Theta_\chi$ to the $p$-adic setting.
Author :
Publisher :
ISBN 13 :
Total Pages : 776 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Pierre Serre
Publisher : CRC Press
ISBN 13 : 1439865256
Total Pages : 120 pages
Book Rating : 4.4/5 (398 download)
Download or read book Topics in Galois Theory written by Jean-Pierre Serre and published by CRC Press. This book was released on 2016-04-19 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt constructi
