WorldCat Identities

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
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Most widely held works about Pierre Deligne
 
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

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

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

Cohomologie étale by Pierre Deligne( Book )

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 hypergeometric-like functions, that is, twists of hypergeometric functions in n-variables. 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 hypergeometric-like functions by their exponents at the divisors "at infinity" permits one to prove generalizations in n-variables of the Kummer identities for n-1 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

Modular functions of one variable V- : proceedings, international conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 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 (l-adic rep{u00AD} resentations) and P. Deligne (modular schemes - representations of GL) and papers on related topics. 2 Volume 3 is devoted to p-adic properties of modular forms and applications to l-adic 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 Coca-Cola 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

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

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

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

Modular Functions of One Variable II : Proceedings International Summer School University of Antwerp, RUCA July 17-August 3, 1972 by Pierre Deligne( )

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

Monodromy of hypergeometric functions and non-lattice integral monodromy. Generalized Picard lattices arising from half-integral 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

Group extensions of p-adic 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

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

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

Central extensions of reductive groups by K 2. Spectral curves, opers and integrable systems / by David Ben-Zvi 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

Modular functions of one variable, I-IV: proceedings, International Summer School, University of Antwerp, RUCA, July 17-August 3, 1972 by International Summer School on Modular Functions( Book )

in English and held by 6 WorldCat member libraries worldwide

 
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Audience level: 0.70 (from 0.56 for Modular fu ... to 0.90 for België + ...)

Quantum fields and strings : a course for mathematicians
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

Languages
English (157)

French (113)

German (6)

Italian (1)

Dutch (1)

Covers
Équations différentielles à points singuliers réguliersQuantum fields and strings : a course for mathematiciansCohomologie étaleCommensurabilities among lattices in PU (1,n)Modular functions of one variable V- : proceedings, international conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 1976Singularités irrégulières : correspondance et documentsQuantum fields and strings : a course for mathematiciansModular Functions of One Variable II : Proceedings International Summer School University of Antwerp, RUCA July 17-August 3, 1972