Langlands, Robert - School of Mathematics, Institute for Advanced Study, Princeton University

• On unitary representations of the Virasoro algebra* The Virasoro algebra b is an infinite-dimensional Lie algebra with basis Lm, m Z, and Z and
• Remarks on Igusa Theory and Real Orbital Integrals* The study of orbital integrals on p-adic groups has turned out to be singularly difficult, and even the most
• On Principal Values on P-Adic Manifolds R. Langlands and D. Shelstad
• Automorphic Representations, Shimura Varieties, and Motives.
• Where Stands Functoriality Today? 1 Robert P. Langlands
• Finite Models for Percolation + R. P. Langlands
• Paris, le 27 novembre, 2000 On m'a permis d'exprimer en quelques mots ma reconnaissance. Je suis certainement tr`es fier de recevoir la
• Representation Theory and Arithmetic * Although some of the books of Hermann Weyl, especially those dealing with algebraic matters, are
• 23 Juin, 1969 Cher Deligne,
• Modular Forms and #adic Representations # R. P. Langlands
• BASE CHANGE FOR GL(2) + R. P. Langlands
• Sur La Mauvaise Reduction D'Une Variete de Shimura* R.P. Langlands
• Automorphic Representations, Shimura Varieties, and Motives.
• Euler Products Robert P. Langlands
• Un Nouveau Point de Rep`ere dans la Theorie des Formes Automorphes Robert P. Langlands*
• Problems in the Theory of Automorprhic Forms To Salomon Bochner
• Haruzo Hida's p-adic automorphic forms on Shimura varieties Robert P. Langlands
• March 24, 1974 Dear Roger,
• Some Contemporary Problems with Origins in the Jugendtraum
• Andre Weil (190698) One of the Century's most
• Orbital Integrals on Forms of SL(3), II By R.P. Langlands and D. Shelstad
• Dear Professor Weil, While trying to formulate clearly the question I was asking you before Chern's talk I was led to
• Euclid's Windows and our Mirrors Review of Euclid's Window by Leonard Mlodinow
• Elliptic curves, by Anthony W. Knapp This book is about elliptic curves and modular functions, two topics that are intimately related
• Rank-One Residues of Eisenstein Series* Dedicated to Ilya Piatetski-Shapiro with admiration and affection
• Harish-Chandra* 11 October 1923 16 October 1983
• Eisenstein Series, the Trace Formula, and the Modern Theory of Automorphic Forms*
• The theory of Eisenstein systems by M. Scott Osborne and Garth Warner The LaplaceBeltrami operator on the upper halfplane with respect to the hyperbolic metric is
• RankOne Residues of Eisenstein Series* Dedicated to Ilya PiatetskiShapiro with admiration and a#ection
• LFunctions and Automorphic Representations* R. P. Langlands
• Automorphic Forms on GL(2) Herve Jacquet and Robert P. Langlands
• Princeton University Princeton, N.J.
• LIndistinguishability for SL(2)* J.P. Labesse and R.P. Langlands
• DES TRACES STABLE EBUTS D'UNE FORMULE
• On the universality of crossing probabilities in twodimensional percolation +
• Finite Models for Percolation R. P. Langlands
• Benim tandgm Cahit Arf Robert Langlands
• On the Functional Equation of the Artin Lfunctions
• A little bit of number theory In the following few pages, several arithmetical theorems are stated. They are meant as a
• An essay on the dynamics and statistics of critical field theories
• 27 November 1967 Dear Jacquet,
• Haruzo Hida's padic automorphic forms on Shimura varieties Robert P. Langlands
• Dimension of Spaces of Automorphic Forms* R.P. Langlands
• On the Notion of an Automorphic Representation * The irreducible representations of a reductive group over a local field can be obtained from the
• Problems in the Theory of Automorprhic Forms + To Salomon Bochner
• On unitary representations of the Virasoro algebra* The Virasoro algebra b is an infinitedimensional Lie algebra with basis Lm , m # Z, and Z and
• Representation Theory* Its Rise and Its Role in Number Theory
• Automorphic Forms on GL(2) * In [3] Jacquet and I investigated the standard theory of automorphic forms from the point of view
• The Trace Formula and its Applications An introduction to the work of James Arthur #
• Robert Langlands--Un explorateur de l'abstrait Robert Langlands est assurement l'un des grands mathematiciens du XXe si`ecle. Ne en 1936 en Colombie-
• February 23, 1975 Dear Roger,
• Some Holomorphic SemiGroups* In this note we state some basic spectral properties of a class of operators associated with a
• March 15, 1968 Ankara, Turkey
• On the ZetaFunctions of Some Simple Shimura Varieties #
• On the Functional Equation of the Artin L-functions
• Eisenstein Series* R.P. Langlands
• Euler Products Robert P. Langlands
• Elliptic curves, by Anthony W. Knapp This book is about elliptic curves and modular functions, two topics that are intimately related
• Shimura varieties and the Selberg trace formula * R.P. Langlands
• The Factorization of a Polynomial Defined by Partitions # 1. Introduction
• Conformal invariance in twodimensional percolation # Robert Langlands, Philippe Pouliot, and Yvan SaintAubin
• Remarks on Igusa Theory and Real Orbital Integrals* The study of orbital integrals on padic groups has turned out to be singularly difficult, and even the most
• Dimension of Spaces of Automorphic Forms* R.P. Langlands
• BEYOND ENDOSCOPY 1 R. P. Langlands 2
• Notes on the KnappZuckerman theory The point of these notes is to redefine some of their concepts in terms of the Lgroup. I observe, however,
• Representation Theory and Arithmetic * Although some of the books of Hermann Weyl, especially those dealing with algebraic matters, are
• Orbital Integrals on Forms of SL(3), I By R.P. Langlands
• Some Holomorphic Semi-Groups* In this note we state some basic spectral properties of a class of operators associated with a
• On Lie Semi-Groups 1. Suppose we have a semi-group structure defined on
• The Dimension of Spaces of Automorphic Forms* R.P. Langlands
• On the Classification of Irreducible Representations of Real Algebraic Groups*
• Notes on the Knapp-Zuckerman theory The point of these notes is to redefine some of their concepts in terms of the L-group. I observe, however,
• The Factorization of a Polynomial Defined by Partitions 1. Introduction
• On the Functional Equations Satisfied by Eisenstein Series Robert P. Langlands
• On the Notion of an Automorphic Representation * The irreducible representations of a reductive group over a local field can be obtained from the
• Dear Professor Weil, While trying to formulate clearly the question I was asking you before Chern's talk I was led to
• March 24, 1974 Dear Roger,
• February 23, 1975 Dear Roger,
• Where Stands Functoriality Today?1 Robert P. Langlands
• 1. Introduction. This is the rest of the letter I promised. After making the necessary apologies for its length, the style in which it is written, and the delay in sending it let me tell you what is in it and what is not in it. There are
• 1. Gaussian sums In the second paragraph I shall discuss the representations of the group of 22 non-singular matrices over a non-archimedean field. In the discussion a number of identities for Gaussian
• On Artin's L-Functions* R.P. Langlands
• Automorphic Forms on GL(2) * In [3] Jacquet and I investigated the standard theory of automorphic forms from the point of view
• L-Indistinguishability for SL(2)* J.-P. Labesse and R.P. Langlands
• DES TRACES STABLE LES D EBUTS D'UNE FORMULE
• Orbital Integrals on Forms of SL(3), I By R.P. Langlands
• On the Definition of Transfer Factors* R.P. Langlands and D. Shelstad
• BEYOND ENDOSCOPY1 R. P. Langlands2
• Some Contemporary Problems with Origins in the Jugendtraum
• On the Zeta-Functions of Some Simple Shimura Varieties
• On the universality of crossing probabilities in two-dimensional percolation
• Conformal invariance in two-dimensional percolation Robert Langlands, Philippe Pouliot, and Yvan Saint-Aubin
• The Dirac Monopole and Induced Representations * In this note a mathematically transparent treatment of the Dirac monopole is given
• Algebro-geometric aspects of the Bethe equations
• Aspects combinatoires des equations de Bethe Robert Langlands
• The Trace Formula and its Applications An introduction to the work of James Arthur
• ENDOSCOPY AND BEYOND I begin with a description of some of the basic general problems in the theory of automorphic
• Andre Weil (1906-98) One of the Century's most
• Representations of Abelian Algebraic Groups* R. P. Langlands
• Aspects combinatoires des equations de Bethe +
• The Dimension of Spaces of Automorphic Forms* R.P. Langlands
• On the Functional Equations Satisfied by Eisenstein Series + Robert P. Langlands
• Representation Theory* Its Rise and Its Role in Number Theory
• September 22, 1969 Dear Harish-Chandra,
• Universality and conformal invariance for the Ising model in domains with boundary
• A little bit of number theory In the following few pages, several arithmetical theorems are stated. They are meant as a
• Harish-Chandra I first met Harish-Chandra when I was an instructor at the University, in the fall of 1961,
• Orbital Integrals on Forms of SL(3), II By R.P. Langlands and D. Shelstad
• Modular Forms and -adic Representations R. P. Langlands
• The renormalization fixed point as a mathematical object R. P. Langlands
• HarishChandra* 11 October 1923 --16 October 1983
• Sur La Mauvaise Reduction D'Une Variete de Shimura* R.P. Langlands
• SEMIGROUPS AND REPRESENTATIONS OF LIE GROUPS + With every Lie semigroup, #, possessing certain regularity properties, there is
• HarishChandra Collected Papers Edited by V. S. Varadarajan
• Princeton University Princeton, N.J.
• 23 Juin, 1969 Cher Deligne,
• April 18, 1968 Dear Harish-Chandra,
• 27 November 1967 Dear Jacquet,
• Descent for Transfer Factors R. Langlands and D. Shelstad
• ENDOSCOPY AND BEYOND + I begin with a description of some of the basic general problems in the theory of automorphic
• 1. Introduction. This is the rest of the letter I promised. After making the necessary apologies for its length, the style in which it is written, and the delay in sending it let me tell you what is in it and what is not in it. There are
• BASE CHANGE FOR GL(2) R. P. Langlands
• The theory of Eisenstein systems by M. Scott Osborne and Garth Warner The Laplace-Beltrami operator on the upper half-plane with respect to the hyperbolic metric is
• On Artin's LFunctions* R.P. Langlands
• Robert Langlands---Un explorateur de l'abstrait Robert Langlands est assur ement l'un des grands math ematiciens du XXe si ecle. N e en 1936 en Colombie
• Algebrogeometric aspects of the Bethe equations +
• Universality and conformal invariance for the Ising model in domains with boundary #
• Harish-Chandra Collected Papers Edited by V. S. Varadarajan
• Eisenstein Series* R.P. Langlands
• Toronto, June, 1993 Mr. President, Madame Vice-Provost, Members of the Graduating Class, Ladies and Gentlemen
• March 15, 1968 Ankara, Turkey
• ENDOSCOPY AND BEYONDy I begin with a description of some of the basic general problems in the the*
• Princeton Univ* Princeton, N.J.
• Sur La Mauvaise R'eduction D'Une Vari'et'e de Shimura* par
• BEYOND ENDOSCOPY1 R. P. Langlands2
• March 24, 1* Dear Roger,
• On the Zeta-Functions of Some Simple Shimura Varieties*
• Notes on the Knapp-Zuckerman theory The point of these notes is to redefine some of their concepts in terms of *
• On the Definition of Transfer Factors* R.P. Langlands and D. Shelstad
• Orbital Integrals on Forms of SL(3), II By R.P. Langlands and D. Shelstad
• Harish-Chandra* 11 October 1923 -16 October 1983
• 1. Introduction. This is the rest of the letter I promised. After making the * *necessary apologies for its
• Descent for Transfer Factors R. Langlands and D. Shelstad
• The renormalization fixed point as a mathematical object R. P. Langlands
• February 23, 1* Dear Roger,
• Some Holomorphic Semi-Groups* In this note we state some basic spectral properties of a class of operator*
• Review of Elliptic curves, by Anthony W. Knapp
• The Factorization of a Polynomial Defined by Partitions* 1. Introduction
• Eisenstein Series, the Trace Formula, and the Modern Theory of Automorphic Forms*
• ALGEBRAISCHE ZYKLEN AUF HILBERTBLUMENTHALFL
• Automorphic Forms on GL(2) Herve Jacquet and Robert P. Langlands
• On Principal Values on PAdic Manifolds R. Langlands and D. Shelstad
• Descent for Transfer Factors R. Langlands and D. Shelstad
• April 18, 1968 Dear HarishChandra,
• SL 2 (R) by Serge Lang Given the formalism of quantum mechanics, the study of those of its laws which are invariant
• An essay on the dynamics and statistics of critical field theories #
• Shimura varieties and the Selberg trace formula * R.P. Langlands
• 1. Gaussian sums In the second paragraph I shall discuss the representations of the group of 22 non singular matrices over a nonarchimedean field. In the discussion a number of identities for Gaussian
• On the Classification of Irreducible Representations of Real Algebraic Groups*
• SEMI-GROUPS AND REPRESENTATIONS OF LIE GROUPS With every Lie semi-group, , possessing certain regularity properties, there is
• SL2(R) by Serge Lang Given the formalism of quantum mechanics, the study of those of its laws which are invariant
• The Volume of the Fundamental Domain for Some Arithmetical Subgroups of Chevalley Groups
• Remarks on Igusa Theory and Real Orbital Integrals* The study of orbital integrals on p-adic groups has turned out to be singul*
• Euler Products Robert P. Langlands
• Andr'e Weil (1906-98) One of the Century's most
• BASE CHANGE FOR GL(2)y by
• Automorphic Representations, Shimura Varieties, and Motives.
• Automorphic Forms on GL(2)y H.Jacquet and R. P. Langlands
• Review of SL2(R ) by Serge Lang
• Eisenstein Series, the Trace Formula, and the Modern Theory of Automorphic Forms*
• Shimura varieties and the Selberg trace formula * R.P. Langlands
• March 15, * Ankara, Tu*
• On the universality of crossing probabilities in two-dimensional percolationy
• Some Contemporary Problems with Origins in the Jugendtraum
• ON THE FUNCTIONAL EQUATION OF THE ARTIN L-FUNCTIONS
• 23 Juin, * Cher Deligne,
• Anka* April 18,*
• A little bit of number theory In the following few pages, several arithmetical theorems are stated. They are *
• Review of The theory of Eisenstein systems by M. Scott Osborne and Garth Warner
• The Dirac Monopole and Induced Representations * In this note a mathematically transparent treatment of the Dirac monopole i*
• On Artin's L-Functions* by
• On Principal Values on P-Adic Manifolds R. Langlands and D. Shelstad
• Representation Theory and Arithmetic * Although some of the books of Hermann Weyl, especially those dealing with a*
• Problems in the Theory of Automorprhic Formsy To Salomon Bochner
• Rank-One Residues of Eisenstein Series* Dedicated to Ilya Piatetski-Shapiro with admiration and affecti*
• DES TRACES STABLE LES D'EBUTS D`UNE FORMULE
• Un Nouveau Point de Rep ere dans la Th
• September 22, 1969 Dear HarishChandra,
• The renormalization fixed point as a mathematical object R. P. Langlands
• The first draft of the review was sent to a number of friends and colleagues, not all of whom had the time to respond, but some did and I am very grateful to those friends, espe-
• Representations of Abelian Algebraic Groups* R. P. Langlands
• On the Definition of Transfer Factors* R.P. Langlands and D. Shelstad
• The Volume of the Fundamental Domain for Some Arithmetical Subgroups of Chevalley Groups
• The Dirac Monopole and Induced Representations * In this note a mathematically transparent treatment of the Dirac monopole is given
• The Volume of the Fundamental Domain for Some Arithmetical Subgroups of Chevalley Groups
• Review of Harish-Chandra Collected Papers
• Harish-Chandra I first met Harish-Chandra when I was an instructor at the University, in t*
• Algebro-geometric aspects of the Bethe equationsy
• On the Notion of an Automorphic Representation * The irreducible representations of a reductive group over a local field can*
• Representation Theory* Its Rise and Its Role in Number Theory
• Representations of Abelian Algebraic Groups* R. P. Langlands
• 1. Gaussian sums In the second paragraph I shall discuss the representations o* *f the group of
• 27 November 19* Dear Jacquet,
• L-Functions and Automorphic Representations* R. P. Langlands
• On the Functional Equations Satisfied by Eisenstein Seriesy Robert P. Langlands
• Modular Forms and `-adic Representations* R. P. Langlands
• Dimension of Spaces of Automorphic Forms* by
• Review of Haruzo Hida's p-adic automorphic forms on Shimura varieties
• New Hav* September 22,*
• Eisenstein Series* R.P. Langlands
• An essay on the dynamics and statistics of critical field theories*
• Automorphic Forms on GL(2) * In [3] Jacquet and I investigated the standard theory of automorphic forms *
• L-Indistinguishability for SL(2)* J.-P. Labesse and R.P. Langlands
• SEMI-GROUPS AND REPRESENTATIONS OF LIE GROUPS y ABSTRACT
• Un Nouveau Point de Rep`ere dans la Th'eorie des Formes Automorphes Robert P. Langlands*
• Dear Professor Weil, While trying to formulate clearly the question I was asking you before Cher*
• L-Functions and Automorphic Representations* R. P. Langlands