WorldCat Identities

Mostow, George D.

Overview
Works: 44 works in 184 publications in 5 languages and 3,719 library holdings
Genres: Conference papers and proceedings  Directories  Filmed lectures  Nonfiction films  Educational films 
Roles: Author, Editor, Honoree, Contributor, ed
Classifications: QA154, 512
Publication Timeline
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Most widely held works about George D Mostow
 
Most widely held works by George D Mostow
Fundamental structures of algebra by George D Mostow( Book )

19 editions published in 1963 in English and Undetermined and held by 832 WorldCat member libraries worldwide

Strong rigidity of locally symmetric spaces by George D Mostow( Book )

17 editions published between 1973 and 2016 in English and held by 463 WorldCat member libraries worldwide

Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semi-simple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudo-isometries"; the other is a notion of a quasi-conformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof
Linear algebra by George D Mostow( Book )

19 editions published between 1967 and 1973 in 3 languages and held by 460 WorldCat member libraries worldwide

Algebraic groups and discontinuous subgroups by American Mathematical Society( Book )

21 editions published between 1963 and 2004 in English and Undetermined and held by 374 WorldCat member libraries worldwide

Commensurabilities among lattices in PU (1,n) by Pierre Deligne( Book )

13 editions published between 1993 and 2016 in English and Undetermined and held by 348 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
Discrete groups in geometry and analysis : papers in honor of G.D. Mostow on his sixtieth birthday( Book )

11 editions published in 1987 in English and Miscellaneous languages and held by 283 WorldCat member libraries worldwide

Mathematical models for cell rearrangement( Book )

8 editions published between 1975 and 1976 in English and held by 259 WorldCat member libraries worldwide

Proceedings of the Gibbs Symposium : Yale University, May 15-17, 1989 by Gibbs Symposium( Book )

8 editions published between 1989 and 2013 in English and held by 189 WorldCat member libraries worldwide

Lectures on discrete subgroups on Lie groups by George D Mostow( Book )

10 editions published in 1969 in English and Undetermined and held by 145 WorldCat member libraries worldwide

Lectures on Lie groups and Lie algebras by George D Mostow( Book )

13 editions published between 1936 and 1974 in English and held by 114 WorldCat member libraries worldwide

World directory of mathematicians, 1986 by International Mathematical Union( Book )

2 editions published in 1986 in English and held by 22 WorldCat member libraries worldwide

Affinoide Überdeckungen eindimensionaler affinoider Räume by Hans Grauert( Book )

4 editions published in 1968 in 3 languages and held by 15 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 )

4 editions published between 1983 and 1986 in English and held by 15 WorldCat member libraries worldwide

From Coxeter diagrams to Kummer identities by George D Mostow( Visual )

3 editions published between 1991 and 2008 in English and held by 14 WorldCat member libraries worldwide

G.D. Mostow, who served as AMS president from 1986 to 1988, illustrates how various branches of mathematics, while seeming quite separate, can in fact have profound connections. Beginning with diagrams for finite groups generated by complex reflections, first introduced by Coxeter in 1966, Mostow describes how this line of research eventually led him and his colleagues to the Kummer identities for hypergeometric functions
Fundamental structures of algebra by George D Mostow( )

1 edition published in 1963 in English and held by 8 WorldCat member libraries worldwide

A teacher's manual for Fundamental structures of algebra, with answers to exercises by George D Mostow( Book )

2 editions published in 1963 in English and held by 6 WorldCat member libraries worldwide

Quasiconformal mappings by Frederick W Gehring( Visual )

1 edition published in 1986 in English and held by 5 WorldCat member libraries worldwide

Frederick Gehring discusses quasiconformal mapping, its history, and three kinds of results, showing the connections with homonic analysis, geometry and elasticity of plane bodies
Monodromy of hypergeometric functions and non-lattice integral monodromy by Pierre Deligne( )

1 edition published in 1986 in English and held by 3 WorldCat member libraries worldwide

Generalized Picard lattices arising from half-integral conditions by George D Mostow( Book )

2 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide

Dai shu xue ji ben jie gou by George D Mostow( Book )

1 edition published in 1973 in Chinese and held by 2 WorldCat member libraries worldwide

 
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Strong rigidity of locally symmetric spaces
Alternative Names
George D. Mostow matematico statunitense

George Mostow Amerikaans wiskundige

George Mostow amerikansk matematikar

George Mostow amerikansk matematiker

George Mostow mathématicien américain

George Mostow US-amerikanischer Mathematiker

Mostow, G. D.

Mostow, G. D. (George D.)

Mostow, G. Daniel.

Mostow, G. Daniel 1923-

Mostow, G. Daniel (George D.)

Mostow, G. Daniel (George Daniel)

Mostow, George 1923-

Mostow, George D.

Mostow, George D. 1923-

Mostow, George Daniel

Mostow, George Daniel 1923-

Джордж Мостов американский математик

ג'ורג' מוסטוב

조지 모스토

喬治·莫斯托

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Commensurabilities among lattices in PU (1,n)