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Author : Pierre Berthelot
Publisher :
ISBN 13 :
Total Pages : 370 pages
Book Rating : 4.:/5 (44 download)
Download or read book Cohomologies p-adiques et applications arithmétiques (II) written by Pierre Berthelot and published by . This book was released on 2002 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierre Berthelot
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (44 download)
Download or read book Cohomologies p-adiques et applications arithmétiques (II) written by Pierre Berthelot and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierre Berthelot
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (318 download)
Download or read book Cohomologies P-adiques Et Applications Arithmétiques written by Pierre Berthelot and published by . This book was released on 2002 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains survey papers on $p$-adic methods in arithmetic geometry. Topics covered include Galois representations, $p$-adic $L$-functions of modular forms, and Iwasawa theory of modular forms. The book is suitable for graduate students and research mathematicians interested in number theory, algebra, and algebraic geometry.
Author : Pierre Berthelot
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (17 download)
Download or read book Cohomologie p-adiques et applications arithmetiques written by Pierre Berthelot and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.F/5 ( download)
Download or read book Cohomologies P-adiques Et Applications Arithmétiques written by and published by . This book was released on 2002 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierre Berthelot
Publisher :
ISBN 13 : 9782856291580
Total Pages : 299 pages
Book Rating : 4.2/5 (915 download)
Download or read book Cohomologies p-adiques et applications arithmétiques (III) written by Pierre Berthelot and published by . This book was released on 2004 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third (and the last) volume of the Proceedings of the p-adic semester at Institut Poincaré in 1997 contains two long articles. The first, by J.-M. Fontaine, treats several topics from the theory of p-adic Galois representations: Sen's theory of C-representations, its generalization to BdR -representations, sketch of the proof by Colmez and Fontaine of the fundamental conjecture weakly admissible implies admissible, some remarks on the period rings. The second article is the long-awaited paper of K. Kato, which concludes the proof of one of the most spectacular number theoretical results from the 1990's, namely "one half" of the Main Conjecture of Iwasawa Theory for classical modular forms and its applications to the p-adic conjecture of Birch and Swinnerton-Dyer (and its generalizations).
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 : World Scientific
ISBN 13 :
Total Pages : 1191 pages
Book Rating : 4./5 ( download)
Download or read book written by and published by World Scientific. This book was released on with total page 1191 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bhargav Bhatt
Publisher : Springer Nature
ISBN 13 : 3030438449
Total Pages : 325 pages
Book Rating : 4.0/5 (34 download)
Download or read book p-adic Hodge Theory written by Bhargav Bhatt and published by Springer Nature. This book was released on 2020-06-15 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains articles related to the research presented at the 2017 Simons Symposium on p-adic Hodge theory. This symposium was focused on recent developments in p-adic Hodge theory, especially those concerning integral questions and their connections to notions in algebraic topology. This volume features original research articles as well as articles that contain new research and survey some of these recent developments. It is the first of three volumes dedicated to p-adic Hodge theory.
Author : Peter Scholze
Publisher : Princeton University Press
ISBN 13 : 069120215X
Total Pages : 264 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 264 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 : Dan Abramovich
Publisher : American Mathematical Soc.
ISBN 13 : 0821847031
Total Pages : 539 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Geometry written by Dan Abramovich and published by American Mathematical Soc.. This book was released on 2009 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers information on various technical tools, from jet schemes and derived categories to algebraic stacks. This book delves into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties. It describes various advances in higher-dimensional bi rational geometry.
Author : Fred Diamond
Publisher : Cambridge University Press
ISBN 13 : 1316062333
Total Pages : 385 pages
Book Rating : 4.3/5 (16 download)
Download or read book Automorphic Forms and Galois Representations: Volume 1 written by Fred Diamond and published by Cambridge University Press. This book was released on 2014-10-16 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles' proof of Fermat's Last Theorem. This two-volume collection arose from the 94th LMS-EPSRC Durham Symposium on 'Automorphic Forms and Galois Representations' in July 2011, the aim of which was to explore recent developments in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and representation theory, as well as recent progress on topics from anabelian geometry to p-adic Hodge theory and the Langlands program. The topics covered in volume one include the Shafarevich Conjecture, effective local Langlands correspondence, p-adic L-functions, the fundamental lemma, and other topics of contemporary interest.
Author : Skip Garibaldi
Publisher : Springer Science & Business Media
ISBN 13 : 1441962115
Total Pages : 344 pages
Book Rating : 4.4/5 (419 download)
Download or read book Quadratic Forms, Linear Algebraic Groups, and Cohomology written by Skip Garibaldi and published by Springer Science & Business Media. This book was released on 2010-07-16 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments in Mathematics is a book series devoted to all areas of mathematics, pure and applied. The series emphasizes research monographs describing the latest advances. Edited volumes that focus on areas that have seen dramatic progress, or are of special interest, are encouraged as well.
Author : Luis Dieulefait
Publisher : Cambridge University Press
ISBN 13 : 1107462541
Total Pages : 539 pages
Book Rating : 4.1/5 (74 download)
Download or read book Arithmetic and Geometry written by Luis Dieulefait and published by Cambridge University Press. This book was released on 2015-10-08 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.
Author : Noriko Yui
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871430
Total Pages : 388 pages
Book Rating : 4.8/5 (714 download)
Download or read book Calabi-Yau Varieties and Mirror Symmetry written by Noriko Yui and published by American Mathematical Soc.. This book was released on with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of mirror symmetry originated in physics, but in recent years, the field of mirror symmetry has exploded onto the mathematical scene. It has inspired many new developments in algebraic and arithmetic geometry, toric geometry, the theory of Riemann surfaces, and infinite-dimensional Lie algebras among others. The developments in physics stimulated the interest of mathematicians in Calabi-Yau varieties. This led to the realization that the time is ripe for mathematicians, armed with many concrete examples and alerted by the mirror symmetry phenomenon, to focus on Calabi-Yau varieties and to test for these special varieties some of the great outstanding conjectures, e.g., the modularity conjecture for Calabi-Yau threefolds defined over the rationals, the Bloch-Beilinson conjectures, regulator maps of higher algebraic cycles, Picard-Fuchs differential equations, GKZ hypergeometric systems, and others. The articles in this volume report on current developments. The papers are divided roughly into two categories: geometric methods and arithmetic methods. One of the significant outcomes of the workshop is that we are finally beginning to understand the mirror symmetry phenomenon from the arithmetic point of view, namely, in terms of zeta-functions and L-series of mirror pairs of Calabi-Yau threefolds. The book is suitable for researchers interested in mirror symmetry and string theory.
Author : Patrick Hild
Publisher : Presses Univ. Franche-Comté
ISBN 13 : 284867282X
Total Pages : 203 pages
Book Rating : 4.8/5 (486 download)
Download or read book Publications mathématiques de Besançon N° 1/2010 written by Patrick Hild and published by Presses Univ. Franche-Comté. This book was released on 2010-03 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fred Diamond
Publisher : Cambridge University Press
ISBN 13 : 1107691923
Total Pages : 385 pages
Book Rating : 4.1/5 (76 download)
Download or read book Automorphic Forms and Galois Representations written by Fred Diamond and published by Cambridge University Press. This book was released on 2014-10-16 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.
