Deligne, Pierre
Overview
Works:  82 works in 369 publications in 5 languages and 3,380 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Opponent, Other, Interviewee, Contributor, Creator, Director 
Classifications:  QA3, 510.8 S 
Publication Timeline
.
Most widely held works by
Pierre Deligne
Hodge cycles, motives, and Shimura varieties by
Pierre Deligne(
Book
)
33 editions published between 1981 and 2008 in 4 languages and held by 436 WorldCat member libraries worldwide
33 editions published between 1981 and 2008 in 4 languages and held by 436 WorldCat member libraries worldwide
Équations différentielles à points singuliers réguliers by
Pierre Deligne(
Book
)
28 editions published in 1970 in 4 languages and held by 426 WorldCat member libraries worldwide
28 editions published in 1970 in 4 languages and held by 426 WorldCat member libraries worldwide
Quantum fields and strings : a course for mathematicians(
Book
)
18 editions published between 1999 and 2000 in English and held by 399 WorldCat member libraries worldwide
18 editions published between 1999 and 2000 in English and held by 399 WorldCat member libraries worldwide
Cohomologie étale by
Pierre Deligne(
Book
)
40 editions published between 1974 and 2009 in 4 languages and held by 394 WorldCat member libraries worldwide
40 editions published between 1974 and 2009 in 4 languages and held by 394 WorldCat member libraries worldwide
Commensurabilities among lattices in PU (1,n) by
Pierre Deligne(
Book
)
15 editions published between 1993 and 2016 in English and Undetermined and held by 349 WorldCat member libraries worldwide
The first part of this monograph is devoted to a characterization of hypergeometriclike functions, that is, twists of hypergeometric functions in nvariables. These are treated as an (n+1) dimensional vector space of multivalued locally holomorphic functions defined on the space of n+3 tuples of distinct points on the projective line P modulo, the diagonal section of Auto P=m. For n=1, the characterization may be regarded as a generalization of Riemann's classical theorem characterizing hypergeometric functions by their exponents at three singular points. This characterization permits the authors to compare monodromy groups corresponding to different parameters and to prove commensurability modulo inner automorphisms of PU(1,n). The book includes an investigation of elliptic and parabolic monodromy groups, as well as hyperbolic monodromy groups. The former play a role in the proof that a surprising number of lattices in PU(1,2) constructed as the fundamental groups of compact complex surfaces with constant holomorphic curvature are in fact conjugate to projective monodromy groups of hypergeometric functions. The characterization of hypergeometriclike functions by their exponents at the divisors "at infinity" permits one to prove generalizations in nvariables of the Kummer identities for n1 involving quadratic and cubic changes of the variable
15 editions published between 1993 and 2016 in English and Undetermined and held by 349 WorldCat member libraries worldwide
The first part of this monograph is devoted to a characterization of hypergeometriclike functions, that is, twists of hypergeometric functions in nvariables. These are treated as an (n+1) dimensional vector space of multivalued locally holomorphic functions defined on the space of n+3 tuples of distinct points on the projective line P modulo, the diagonal section of Auto P=m. For n=1, the characterization may be regarded as a generalization of Riemann's classical theorem characterizing hypergeometric functions by their exponents at three singular points. This characterization permits the authors to compare monodromy groups corresponding to different parameters and to prove commensurability modulo inner automorphisms of PU(1,n). The book includes an investigation of elliptic and parabolic monodromy groups, as well as hyperbolic monodromy groups. The former play a role in the proof that a surprising number of lattices in PU(1,2) constructed as the fundamental groups of compact complex surfaces with constant holomorphic curvature are in fact conjugate to projective monodromy groups of hypergeometric functions. The characterization of hypergeometriclike functions by their exponents at the divisors "at infinity" permits one to prove generalizations in nvariables of the Kummer identities for n1 involving quadratic and cubic changes of the variable
Groupes de monodromie en géométrie algébrique by
Pierre Deligne(
Book
)
25 editions published between 1972 and 1973 in French and English and held by 119 WorldCat member libraries worldwide
25 editions published between 1972 and 1973 in French and English and held by 119 WorldCat member libraries worldwide
Modular functions of one variable V : proceedings, international conference, University of Bonn, Sonderforschungsbereich
Theoretische Mathematik, July 214, 1976 by
W Kuyk(
Book
)
39 editions published between 1973 and 1986 in 3 languages and held by 92 WorldCat member libraries worldwide
An international Summer School on: "Modular functions of one variable and arithmetical applications" took place at RUCA, Antwerp University, from July 17 to  gust 3, 1972. This book is the first volume (in a series of four) of the Proceedings of the Summer School. It includes the basic course given by A. Ogg, and several other papers with a strong analytc̃ flavour. Volume 2 contains the courses of R.P. Langlands (ladic rep{u00AD} resentations) and P. Deligne (modular schemes  representations of GL) and papers on related topics. 2 Volume 3 is devoted to padic properties of modular forms and applications to ladic representations and zeta functions. Volume 4 collects various material on elliptic curves, includ{u00AD} ing numerical tables. The School was a NATO Advanced Study Institute, and the orga{u00AD} nizers want to thank NATO for its major subvention. Further support, in various forms, was received from IBM Belgium, the CocaCola Co. of Belgium, Rank Xerox Belgium, the Fort Food Co. of Belgium, and NSF Washington, D.C{u2022}{u2022} We extend our warm{u00AD} est thanks to all of them, as well as to RUCA and the local staff (not forgetting hostesses and secretaries!) who did such an excellent job
39 editions published between 1973 and 1986 in 3 languages and held by 92 WorldCat member libraries worldwide
An international Summer School on: "Modular functions of one variable and arithmetical applications" took place at RUCA, Antwerp University, from July 17 to  gust 3, 1972. This book is the first volume (in a series of four) of the Proceedings of the Summer School. It includes the basic course given by A. Ogg, and several other papers with a strong analytc̃ flavour. Volume 2 contains the courses of R.P. Langlands (ladic rep{u00AD} resentations) and P. Deligne (modular schemes  representations of GL) and papers on related topics. 2 Volume 3 is devoted to padic properties of modular forms and applications to ladic representations and zeta functions. Volume 4 collects various material on elliptic curves, includ{u00AD} ing numerical tables. The School was a NATO Advanced Study Institute, and the orga{u00AD} nizers want to thank NATO for its major subvention. Further support, in various forms, was received from IBM Belgium, the CocaCola Co. of Belgium, Rank Xerox Belgium, the Fort Food Co. of Belgium, and NSF Washington, D.C{u2022}{u2022} We extend our warm{u00AD} est thanks to all of them, as well as to RUCA and the local staff (not forgetting hostesses and secretaries!) who did such an excellent job
Singularités irrégulières : correspondance et documents by
Pierre Deligne(
Book
)
10 editions published between 2007 and 2008 in French and held by 61 WorldCat member libraries worldwide
10 editions published between 2007 and 2008 in French and held by 61 WorldCat member libraries worldwide
Quantum fields and strings : a course for mathematicians(
Book
)
16 editions published between 1999 and 2000 in English and held by 58 WorldCat member libraries worldwide
16 editions published between 1999 and 2000 in English and held by 58 WorldCat member libraries worldwide
Théorie des topos et cohomologie étale des schémas by
Michael Artin(
Book
)
9 editions published between 1972 and 1973 in French and held by 37 WorldCat member libraries worldwide
9 editions published between 1972 and 1973 in French and held by 37 WorldCat member libraries worldwide
Théorie de Hodge, II by
Pierre Deligne(
Book
)
11 editions published between 1971 and 1972 in French and English and held by 35 WorldCat member libraries worldwide
11 editions published between 1971 and 1972 in French and English and held by 35 WorldCat member libraries worldwide
Modular Functions of One Variable II : Proceedings International Summer School University of Antwerp, RUCA July 17August
3, 1972 by
Pierre Deligne(
)
2 editions published in 1973 in English and held by 29 WorldCat member libraries worldwide
2 editions published in 1973 in English and held by 29 WorldCat member libraries worldwide
Théorie de Hodge, III by
Pierre Deligne(
Book
)
14 editions published between 1972 and 1975 in 3 languages and held by 28 WorldCat member libraries worldwide
14 editions published between 1972 and 1975 in 3 languages and held by 28 WorldCat member libraries worldwide
Monodromy of hypergeometric functions and nonlattice integral monodromy. Generalized Picard lattices arising from halfintegral
conditions / by G.D. Mostow [u.a.] by
Pierre Deligne(
Book
)
5 editions published between 1983 and 1986 in English and held by 19 WorldCat member libraries worldwide
5 editions published between 1983 and 1986 in English and held by 19 WorldCat member libraries worldwide
Group extensions of padic and adelic linear groups by
C. C Moore(
Book
)
5 editions published in 1968 in English and Undetermined and held by 16 WorldCat member libraries worldwide
5 editions published in 1968 in English and Undetermined and held by 16 WorldCat member libraries worldwide
The arithmetic theory of loop groups by
Howard Garland(
Book
)
6 editions published in 1980 in English and held by 16 WorldCat member libraries worldwide
6 editions published in 1980 in English and held by 16 WorldCat member libraries worldwide
Theorie de Hodge by
Pierre Deligne(
Book
)
4 editions published between 1970 and 1972 in French and Undetermined and held by 13 WorldCat member libraries worldwide
4 editions published between 1970 and 1972 in French and Undetermined and held by 13 WorldCat member libraries worldwide
Central extensions of reductive groups by K 2. Spectral curves, opers and integrable systems / by David BenZvi and Edward
Frenkel [u.a.] by
J.L Brylinski(
Book
)
5 editions published in 2001 in English and held by 13 WorldCat member libraries worldwide
5 editions published in 2001 in English and held by 13 WorldCat member libraries worldwide
The chameleon groups of Richard J. Thompson: automorphisms and dynamics / Extensions centrales de groupes algébriques simplement
connexes et cohomologie galoisienne / par P. Deligne. Computation of the metaplectic kernel / by Gopal Prasad and Andrei S.
Rapinchuk. Requivalence and rationality problem for semisimple adjoint classical algebraic groups / by A.S. Merkurjev by
Matthew G Brin(
Book
)
3 editions published between 1996 and 1997 in English and French and held by 11 WorldCat member libraries worldwide
3 editions published between 1996 and 1997 in English and French and held by 11 WorldCat member libraries worldwide
Modular functions of one variable, IIV: proceedings, International Summer School, University of Antwerp, RUCA, July 17August
3, 1972 by
International Summer School on Modular Functions(
Book
)
in English and held by 6 WorldCat member libraries worldwide
in English and held by 6 WorldCat member libraries worldwide
more
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Audience Level
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Related Identities
 Mostow, George D. Contributor Editor
 Institute for Advanced Study (Princeton, N.J.)
 Kuyk, Willem Author Editor
 Serre, JeanPierre 1926 Interviewee Editor
 Birch, B. J. (Bryan John) Editor
 Katz, N. Other Director Editor
 Kuyk, Willem Editor
 Grothendieck, Alexandre (1928 ...). Other Author Editor
 Ogus, Arthur
 Milne, James S.
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Associated Subjects
Abelian groups Abelian varieties Algebraic number theory Algebraic topology Algebraic varieties Algebras, Linear Asymptotes Automorphisms Belgium C*algebras Catastrophes (Mathematics) Categories (Mathematics) Connections (Mathematics) Convolutions (Mathematics) Daubechies, Ingrid Differential equations Differential equations, Linear Distance geometry Finite groups Functions Functions, Zeta Functions of complex variables Functor theory Geometry, Algebraic Geometry, Analytic Germs (Mathematics) Global analysis (Mathematics) Group theory Homology theory Homotopy theory Hypergeometric functions Ktheory Lattice theory Linear algebraic groups Loops (Group theory) Mathematical physics Mathematicians Mathematics Metric spaces Modular functions Monodromy groups Number theory Quantum field theory Schemes (Algebraic geometry) Sheaf theory Singularities (Mathematics) Spectral theory (Mathematics) String models Topology Toposes
Alternative Names
Deligné, P.
Deligne, P. 1944
Deligne, P. (Pierre)
Deligné, Pierre
Deligne, Pierre R. 1944
Pierre Deligne Belgisch wiskundige
Pierre Deligne belgischer Mathematiker
Pierre Deligne belgisk matematikar
Pierre Deligne belgisk matematiker
Pierre Deligne matematico belga
Pierre Deligne mathematician
Pierre Deligne mathématicien
Pierre René Deligne
Пиер Делин
Пьер Делинь математик
П'єр Рене Делінь
פייר דלין
بيار ديلين
پیر دلین ریاضیدان بلژیکی
پیری ڈلیگن
피에르 들리뉴
ピエール・ルネ・ドリーニュ
皮埃尔·德利涅
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