Introduction
Robert P. Langlands was born in New Westminster, British Columbia, in
1936. He graduated from the University of British Columbia
with an undergraduate degree in 1957 and an M.Sc. in
1958, and from Yale University with a Ph.D. in 1960.
He has held faculty positions at Princeton University
and Yale University, and is currently a Professor at the
Institute
for Advanced Study in Princeton New Jersey.
He has won several awards
recognizing his outstanding contributions to the
theory of automorphic forms, among them an honorary
degree from the University of British Columbia in 1985.
Looking forward to eventual publication of his collected works, Professor Langlands is cooperating with us in providing on our site a large selection from his professional correspondence and previously unpublished work, as well as an almost complete collection of all of his published work.
This material is being put into TeX at the Institute for Advanced Study in Princeton New Jersey and will appear here as it becomes ready. We would like to thank Alice Garber, Dorothea Phares, Marietta Chiorello, Elly Gustafsson, Michelle Huguenin, and Carol Warfield of the staff at the Institute, as well as Mark Goresky, for helping with this project.
The material
Inevitably, the topics into which we have organized
material overlap somewhat.
Ph.D. thesis
Early work on the trace formula
Representation theory of real groups
Dimension of spaces of automorphic forms
Proceedings of the AMS Symposium at Boulder, Colorado 1965
[pdf] [ps]
Proceedings of the AMS Symposium at Boulder, Colorado 1965
[pdf] [ps]
The classification of representations of real reductive groups
Math. Surveys and Monographs 31 1988
[pdf] [ps]
Math. Surveys and Monographs 31 1988
[pdf] [ps]
On unitary representations of the Virasoro algebra
Infinite-dimensional Lie algebras and their applications, World Scientific 1988
[pdf] [ps]
Infinite-dimensional Lie algebras and their applications, World Scientific 1988
[pdf] [ps]
Eisenstein series and automorphic forms
The volume of the fundamental domain for some arithmetical subgroups of Chevalley groups
Proceedings of the AMS Symposium at Boulder, Colorado 1965
[pdf] [ps]
Proceedings of the AMS Symposium at Boulder, Colorado 1965
[pdf] [ps]
On the notion of an automorphic representation
Proceedings of Symposia in Pure Mathematics XXXIII, AMS 1979
[pdf] [ps]
Proceedings of Symposia in Pure Mathematics XXXIII, AMS 1979
[pdf] [ps]
Functoriality
Problems in the Theory of Automorphic Forms
Lectures in modern analysis and applications III, Lecture Notes in Mathematics 170 1970
[pdf] [ps]
Lectures in modern analysis and applications III, Lecture Notes in Mathematics 170 1970
[pdf] [ps]
The representation theory of abelian algebraic groups
Pacific Journal of Mathematics 61pp231-250 1998
[pdf] [ps]
Pacific Journal of Mathematics 61pp231-250 1998
[pdf] [ps]
Representation theory - its rise and its role in number theory
Proceedings of the Gibbs symposium 1989
[pdf] [ps]
Proceedings of the Gibbs symposium 1989
[pdf] [ps]
First tests and first consequences of functoriality
A letter to Deligne
1967
1967
Base change
L-functions and Automorphic Representations
Proceedings of the International Congress of Mathematicians, Helsinki 1978
[pdf] [ps]
Proceedings of the International Congress of Mathematicians, Helsinki 1978
[pdf] [ps]
Endoscopy
Les débuts d'une formule des traces stable
Publications mathématiques de l'Université Paris VII 1979
[pdf] [ps]
Publications mathématiques de l'Université Paris VII 1979
[pdf] [ps]
On principal values on p-adic manifolds
Lie group representations II, Lecture Notes in Mathematics 41 1984
[pdf] [ps]
Lie group representations II, Lecture Notes in Mathematics 41 1984
[pdf] [ps]
Remarks on Igusa theory and real orbital integrals
The zeta functions of Picard modular surfaces, Centre de Recherches Mathématiques, Montréal 1992
[pdf] [ps]
The zeta functions of Picard modular surfaces, Centre de Recherches Mathématiques, Montréal 1992
[pdf] [ps]
Eisenstein series, the trace formula, and the modern theory of automorphic forms
Number theory, trace formulas, and discrete groups 1987
[pdf] [ps]
Number theory, trace formulas, and discrete groups 1987
[pdf] [ps]
Shimura varieties
Modular forms and l-adic representations
Modular functions of one variable II, Lecture Notes in Mathematics 349 1973
[pdf] [ps]
Modular functions of one variable II, Lecture Notes in Mathematics 349 1973
[pdf] [ps]
Some contemporary problems with origins in the Jugendtraum
Mathematical developments arising from Hilbert's problems, Proceedings of Symposia in Pure Mathematics 28 1974
[pdf] [ps]
Mathematical developments arising from Hilbert's problems, Proceedings of Symposia in Pure Mathematics 28 1974
[pdf] [ps]
Comments on Shimura varieties and the Selberg trace formula
Canadian Mathematical Society Selecta 2 1995
[pdf] [ps]
Canadian Mathematical Society Selecta 2 1995
[pdf] [ps]
On the zeta-functions of some simple Shimura varieties
Canadian Journal of Mathematics 31 1979
[pdf] [ps]
Canadian Journal of Mathematics 31 1979
[pdf] [ps]
Automorphic representations, motives, and Shimura varieties. Ein Märchen
Proceedings of the 1977 A.M.S. conference on L functions and automorphic representations 1977
[pdf] [ps]
Proceedings of the 1977 A.M.S. conference on L functions and automorphic representations 1977
[pdf] [ps]
Sur la mauvaise réduction d'une variété de Shimura
Journées de Géométrie Algébrique de Rennes, Astérisques 65 1979
[pdf] [ps]
Journées de Géométrie Algébrique de Rennes, Astérisques 65 1979
[pdf] [ps]
Algebraische Zyklen auf Hilbert-Blumenthal Flächen
Journal für die reine und angewandte Mathematik 366 1986
[pdf] [ps]
Journal für die reine und angewandte Mathematik 366 1986
[pdf] [ps]
Representation theory and arithmetic
The mathematical heritage of Hermann Weyl, Proceedings of Symposia in Pure Mathematics, AMS 48 1987
[pdf] [ps]
The mathematical heritage of Hermann Weyl, Proceedings of Symposia in Pure Mathematics, AMS 48 1987
[pdf] [ps]
Percolation
On the universality of crossing probabilities in two-dimensional percolation
Journal of Statistical Physics 67 1992
[pdf] [ps]
Journal of Statistical Physics 67 1992
[pdf] [ps]
Mathematical physics
The Dirac monopole and induced representations
Pacific Journal of Mathematics 126 1987
Pacific Journal of Mathematics 126 1987
An essay on the dynamics and statistics of critical field theories
Canadian Mathematical Society Selecta 3 1995
[pdf] [ps]
Canadian Mathematical Society Selecta 3 1995
[pdf] [ps]
Algebro-geometric aspects of the Bethe equations
Strings and Symmetries, Proceedings of Gürsey Memorial Conference, Istanbul 1995
Strings and Symmetries, Proceedings of Gürsey Memorial Conference, Istanbul 1995
Aspects combinatoires des équations de Bethe
Advances in Mathematical Sciences: CRM's 25 years 1997
Advances in Mathematical Sciences: CRM's 25 years 1997
Universality and conformal invariance for the Ising model in domains with boundary
Journal of Statistical Physics 98pp131-244 2000
Journal of Statistical Physics 98pp131-244 2000
Miscellaneous
Harish-Chandra 1923-1983
Biographical Memoirs of Fellows of the Royal Society 31 1985
Biographical Memoirs of Fellows of the Royal Society 31 1985
André Weil (1906-98) - one of the century's most influential pure mathematicians
Nature 396pp848 1998
Nature 396pp848 1998
Commencement address at the University of Toronto, June 1993
1993
1993
The trace formula and its applications (an introduction to the work of James Arthur)
Canadian Mathematics Bulletin 20 2001
Canadian Mathematics Bulletin 20 2001
Laudatio
on the occasion of an award to Günter Harder
on the occasion of an award to Günter Harder
Review of SL2(R) by Serge Lang
Bulletin of the American Mathematical Society 82 1976
Bulletin of the American Mathematical Society 82 1976
Review of The theory of Eisenstein system by M. Scott Osborne and Garth Warner
Bulletin of the American Mathematical Society 9 1983
Bulletin of the American Mathematical Society 9 1983
Review of Harish-Chandra's Collected Works
Bulletin of the London Mathematical Society 17 1985
Bulletin of the London Mathematical Society 17 1985
Review of Elliptic Curves by Anthony Knapp
Bulletin of the American Mathematical Society 30 1994
Bulletin of the American Mathematical Society 30 1994
Euclid's windows and our mirrors - review of Euclid's Window by Leonard Mlodinow
Notices of the American Mathematical Society 2002
Notices of the American Mathematical Society 2002
Benim tanıdığım Cahit Arf (recollections of a year in Turkey with Cahit Arf)
Matematik Dünyası 2003
Matematik Dünyası 2003
Descartes ile Fermat
Matematik Dünyası 2pp54-61 2005
Matematik Dünyası 2pp54-61 2005
A review of Haruzo Hida's p-adic automorphic forms on Shimura varieties,...
Bulletin of the American Mathematical Society 2006
Bulletin of the American Mathematical Society 2006