Last edited by Zolozil
Thursday, July 23, 2020 | History

9 edition of An Introduction to the Langlands Program found in the catalog.

An Introduction to the Langlands Program

  • 348 Want to read
  • 35 Currently reading

Published by Birkhäuser Boston .
Written in English

    Subjects:
  • Number Theory,
  • Mathematics,
  • Science/Mathematics,
  • L-functions,
  • Geometry - Algebraic,
  • Automorphic forms,
  • Calculus,
  • Mathematics / Number Theory

  • Edition Notes

    ContributionsS.S. Kudla (Contributor), E. Kowalski (Contributor), E. de Shalit (Contributor), D. Gaitsgory (Contributor), J.W. Cogdell (Contributor), D. Bump (Contributor), Joseph Bernstein (Editor), Stephen Gelbart (Editor)
    The Physical Object
    FormatPaperback
    Number of Pages288
    ID Numbers
    Open LibraryOL8074292M
    ISBN 100817632115
    ISBN 109780817632113

    An introduction to the Langlands program (Birkhaeuser, )(K)(dpi)(T)(C)(s)(ISBN ) Download (DJVU) | Look folder | or Buy Mb. For an introduction to the local Langlands correspondence, see [26] and Section of [8]. The representations of W F that we consider will all be representations of the Weil group W F, which.

      Edward Frenkel, Commentary on “An elementary introduction to the Langlands Program” by Stephen Gelbart, Bull. Amer. Math. Soc. 48 (), , Mark Goresky, Langlands’ conjectures for physicists. James W. Cogdell, L-functions and non-abelian class field theory, from Artin to Langlands, History. In mathematics, the classical Langlands correspondence is a collection of results and conjectures relating number theory and representation theory. Formulated by Robert Langlands in the late s, the Langlands correspondence is related to important conjectures in number theory such as the Taniyama–Shimura conjecture, which includes Fermat's last theorem as a special case.

    Geometric Langlands on TV: In Episode 11 of Season 4 of Fox's "24", we find Drinfeld modules, the central construction in the solution of the Langlands program over function fields (by Drinfeld for GL 2 and Lafforgue for GL n), in use by the Counter Terrorist Unit, spearheaded by Kiefer Sutherland's character Jack of the terrorists explains to his boss about CTU foiling their efforts. I’ve read a few popular maths books and I would highly recommend these ones: Edward Frenkel, Love and Math is an introduction to the Langlands Program at a popular level. It’s extremely well-written and describes lots of very advanced mathematics from across the board, from Galois theory and modular forms to D-branes and mirror symmetry.


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An Introduction to the Langlands Program Download PDF EPUB FB2

"The six chapters of this monograph give a broad, user-friendly introduction to the Langlands program, that is, the theory An Introduction to the Langlands Program book automorphic forms and its connection with the theory of L-functions and other fields of mathematics.

First-year graduate students and researchers will /5(4). This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics.

Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. The book is suitable for graduate students and researchers/5(5).

The twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics.

Key features of this self-contained presentation. This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics.

Each of the twelve chapters focuses on a particular topic devoted to special cases of the program/5(5). The flrst half serves as background for the second half, which discusses some structure theory for reductive groups, the deflnitions of automorphic and cusp forms, the Langlands L group, L Author: Anthony Knapp.

An Introduction to the Langlands Program present a broad, user-friendly introduction to the Langlands program, that is, Elementary Theory of L- Functions I. Discover Archives, a shared portal for exploring archival holdings at the University of Toronto and its federated colleges.

This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics.

Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. INTRODUCTION TO THE LANGLANDS PROGRAM (NUMBER THEORY SEMINAR, BERKELEY, FALL ) XINYI YUAN The goal of this series of talks is to introduce the Langlands program.

The main reference of this series is the book [BG]. Lecture 1. Introduction and organization, Xinyi Yuan, Sept 6. I will outline the materials and distribute the weekly lectures to volunteers.

INTRODUCTION TO THE LANGLANDS PROGRAM 3) k K=O K/m Kisafinitefieldk K,lusionofZ pinto O KinducesamapofZ p/pZ pintok K,andthusZ p/pZ pmayberegardedas theprimefieldofk ethenumberofelementsink Kasq=pf and callftheresiduedegreeofKoverQ uleof K isq−1.

4) By(1),theidealpO K ofO K isoftheformme K. $\begingroup$ I can't give an answer, but I want to mention the book Introduction to the Langlands program by Bernstein, Gelbart et al. $\endgroup$ – Soarer Jul 2 '11 at 2 $\begingroup$ @ABC, Langlands isn't really a grand unified theory of mathematics - that's just something Edward Frenkel said to convey the importance of the work to.

In mathematics, the Langlands program is a web of far-reaching and influential conjectures about connections between number theory and geometry. Proposed 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 adeles.

Summary: This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics.

Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. An Introduction to the Langlands Program. For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with.

Any graduate student in number theory quickly picks up two important bits of information about the "Langlands Program". The first is that Langlands' amazing vision of where number theory should go is one of the driving ideas in subject.

In other words, this is important stuff. The second bit of information is that this material is hard. These lecture notes give an overview of recent results in geometric Langlands correspondence which may yield applications to quantum field theory.

We start with a motivated introduction to the Langlands Program, including its geometric reformulation, addressed primarily to physicists.

I tried to make it as self-contained as possible, requiring very little mathematical. An Introduction to the Langlands Program. Book Title:An Introduction to the Langlands Program.

For the past several decades the theory of automorphic forms has become a major focal point of. The twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics.

Covered are a variety of areas in number theory from the classical zeta function up to the Langlands program.4/5(3). Writing for NRC Handelsblad, Robbert Dijkgraaf, IAS Director and Leon Levy Professor, likens IAS Professor and Abel Prize Laureate Robert Langlands’s program, “a deep connection between two completely different parts of mathematics: on the one hand, numbers and their relations, on the other hand, geometrical patterns and their symmetries,” to a mathematical Rosetta Stone.

[Langlands 6] R. Langlands, Les débuts d'une formule des traces stables, Lecture Notes, L'École Normale Supérieure de Jeunes Filles, Paris, Zentralblatt MATH: [Langlands 7] R. Langlands, Shimura varieties and the Selberg trace formula, Canad. The Jacquet-Langlands correspondence is an important case of the functorial principle in the Langlands program.

This book is written by the founder of the eminent French school of automorphic representations and gives an accessible introduction to the Jacquet-Langlands correspondence. The article on the geometric Langlands program could serve as a concise introduction to this research.

Of particular interest to the algebraist reader is the article by J.W. Cogdell on the Langlands conjectures for GL (n) since it touches on how to use automorphic representations to study /5.Buy An Introduction to the Langlands Program from For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics.

The twelve chapters of this monograph present a broad, user-friendly introduction to the Price: $Gaitsgory D. () Informal Introduction to Geometric Langlands. In: Bernstein J., Gelbart S. (eds) An Introduction to the Langlands Program. Birkhäuser, Boston, MA.