6 edition of **Contributions to Automorphic Forms, Geometry, and Number Theory** found in the catalog.

- 293 Want to read
- 5 Currently reading

Published
**February 4, 2004**
by The Johns Hopkins University Press
.

Written in English

- Mathematics,
- Automorphic forms,
- Science/Mathematics,
- Natural Resources,
- Advanced,
- Calculus,
- Mathematics / Advanced,
- Geometry,
- Number theory

**Edition Notes**

Contributions | Haruzo Hida (Editor), Dinakar Ramakrishnan (Editor), Freydoon Shahidi (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 928 |

ID Numbers | |

Open Library | OL7871189M |

ISBN 10 | 0801878608 |

ISBN 10 | 9780801878602 |

John Tate has made deep contributions to algebraic number theory, as well as arithmetic and algebraic geometry. Among his many important contributions, Tate's thesis turned a new page on the modern theory of automorphic forms and their L-functions. He . His long term goal is to understand the general local-global-automorphic principles in the theory of automorphic forms, which reflects one of the basic principles in arithmetic and number theory. The theory of automorphic forms has been studied for a long time .

ular surfaces, while Rogawski’s research book ‘ unitary automophic forms of 3 variables’ contains a lot of stu about automorphic forms on U(2;1). although we will not go that deep in detail. A little warning is that both books are not easy to read. Department of Mathematics, University of Wisconsin Madison, Van Vleck Hall, Madison, WI. BibTeX @MISC{Furusawa04onthe, author = {Masaaki Furusawa and Rainer}, title = {On the global Gross-Prasad conjecture for Yoshida liftings. Contributions to Automorphic Forms, Geometry, and Number Theory. The Johns Hopkins}, year = {}}.

Throughout his career, Stephen Kudla has done significant work in the fields of representation theory, automorphic forms, number theory, and arithmetic geometry. In this Festschrift volume celebrating Kudla’s sixtieth birthday, we present papers from many of the students, collaborators, and colleagues that were influenced by him. ISBN: OCLC Number: Notes: "The contributions to this volume are based on lectures held in September during a conference on Conformal Field Theoru, Automorphic Forms and Related Topics, organized by .

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Contributions to Automorphic Forms, Geometry, and Number Theory will likely lead to vital interaction Contributions to Automorphic Forms researchers and also help prepare students and other young mathematicians to and Number Theory book this exciting area of pure : Hardcover. In Contributions to Automorphic Forms, Geometry, and Number Theory, Haruzo Hida, Dinakar Ramakrishnan, and Freydoon Shahidi bring together a distinguished group of experts to explore automorphic.

Geometry and Analysis of Automorphic Forms of Several Variables - Proceedings of the International Symposium in Honor of Takayuki Oda on the Occasion Birthday (Number Theory and Its Applications) 1st EditionAuthor: Yoshinori Hamahata.

In Contributions to Automorphic Forms, Geometry, and Number Theory, Haruzo Hida, Dinakar Ramakrishnan, and Freydoon Shahidi bring together a distinguished group of experts to explore automorphic forms, principally via the associated L-functions, representation theory, and geometry.

Summary: "In Contributions to Automorphic Forms, Geometry, and Number Theory, Haruzo Hida, Dinakar Ramakrishnan, and Freydoon Shahidi bring together a distinguished group of experts to explore automorphic forms, principally via the associated L-functions, representation theory, and geometry.

About this Textbook Automorphic forms are an important complex analytic tool in number theory and modern arithmetic geometry.

They played for example a vital role in Andrew Wiles's proof of Fermat's Last : Springer-Verlag London. This volume contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September at Tokyo, Japan, in honor of Takayuki Oda''s 60th birthday.

It presents both research and survey articles in the fields that are the main themes of his work. The volume may serve as a guide to developing areas as well as a resource. The book features extensive foundational material on the representation theory of GL(1) and GL(2) over local fields, the theory of automorphic representations, L-functions and advanced topics such as the Langlands conjectures, the Weil representation, the Rankin–Selberg method and the triple L-function, examining this subject matter from many.

$\begingroup$ Very much. New Geometric Methods in Number Theory and Automorphic Forms and Geometric Representation Theory are listed as the Parent Programs of this Summer Workshop. The two programmes will run almost concurrently, and the webpage of the second programme gives a hint about the the geometric methods: A recent triumph of geometric methods is Ngô's proof of the Fundamental.

The Mathematical Sciences Research Institute (MSRI), founded inis an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions.

The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to Grizzly Peak, on the. This is Volume 1 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms.

The two-volume book treats three instances, starting with some small unimodular. Contributions to automorphic forms, geometry, and number theory (In honor of Joseph Shalika), –, Johns Hopkins Univ. Press, Baltimore, MD () Existence of Ramanujan primes for GL(3), in "Contributions to Automorphic Forms, Geometry, and Number Theory,"JHU Press, Baltimore ().

Mathematics Study, publication date [3unpub] Katz, N., Report on the irreducibility of L-functions, in (a volume in honor of Serge Lang) Number Theory, Analysis and Geometry, alleged publication date [4unpub] Katz, N., Appendix: Lefschetz pencils with imposed sub-varieties [5unpub] Katz, N., Hooley parameters for families of exponential.

automorphic forms on, or automorphic representations of, reductive groups, the local and global problems pertaining to them, and of their relations with the L-functions of algebraic number theory and algebraic geometry, such as Artin L-functions and Hasse.

Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. In this book, Henryk Iwaniec once again displays his penetrating insight, powerful analytic techniques, and lucid writing style.

The theory of automorphic forms and its relationship to Galois representations is not something you will learn in one sitting, so to speak. For the very broadest outlines of the goals of the field, you might begin with Mark Kisin's article What is a Galois representation.

The theory of automorphic forms and their associated L-functions is one of the central research areas in modern number theory, linking number theory, arithmetic geometry, representation theory, and complex analysis in many profound ways.

automorphic forms on, or automorphic representations of, reductive groups, the local and global problems pertaining to them, and of their relations with the L- functions of algebraic number theory and algebraic geometry, such as Artin L.

The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established.

This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. In mathematics, the Langlands program is a web of far-reaching and influential conjectures about connections between number theory and ed by Robert Langlands (, ), it seeks to relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and seen as the single biggest project in.

Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory.

In this book, Henryk Iwaniec once again displays his penetrating insight, powerful analytic techniques, and lucid writing style.e-books in Number Theory category Topics in the Theory of Quadratic Residues by Steve Wright - arXiv, Beginning with Gauss, the study of quadratic residues and nonresidues has subsequently led directly to many of the ideas and techniques that are used everywhere in number theory today, and the primary goal of these lectures is to use this study.Modern analysis of automorphic forms by examples Paul Garrett version Aug c Paul Garrett This is a prepublication version of a book to be published by Cambridge University Press, Per contractual agreement, I can keep a PDF copy on-line (especially for corrections and updates), and.