Varchenko, A. N. (Aleksandr Nikolaevich)
Overview
Works:  77 works in 211 publications in 4 languages and 2,754 library holdings 

Genres:  Conference proceedings Bibliography 
Roles:  Author, Editor, Thesis advisor, Contributor 
Classifications:  QA614.58, 514.72 
Publication Timeline
.
Most widely held works by
A. N Varchenko
Singularities of differentiable maps by
V. I Arnolʹd(
Book
)
34 editions published between 1984 and 2012 in 3 languages and held by 461 WorldCat member libraries worldwide
34 editions published between 1984 and 2012 in 3 languages and held by 461 WorldCat member libraries worldwide
Special functions, KZ type equations, and representation theory by
A. N Varchenko(
Book
)
6 editions published in 2003 in English and held by 230 WorldCat member libraries worldwide
6 editions published in 2003 in English and held by 230 WorldCat member libraries worldwide
Geometry of differential equations(
Book
)
9 editions published in 1998 in English and held by 200 WorldCat member libraries worldwide
9 editions published in 1998 in English and held by 200 WorldCat member libraries worldwide
Why the boundary of a round drop becomes a curve of order four by
A. N Varchenko(
Book
)
14 editions published between 1991 and 2004 in English and Russian and held by 197 WorldCat member libraries worldwide
14 editions published between 1991 and 2004 in English and Russian and held by 197 WorldCat member libraries worldwide
Topics in singularity theory : V.I. Arnold's 60th anniversary collection(
Book
)
8 editions published in 1997 in English and held by 195 WorldCat member libraries worldwide
8 editions published in 1997 in English and held by 195 WorldCat member libraries worldwide
Geometry of qhypergeometric functions, quantum affine algebras and elliptic quantum groups by
V Tarasov(
Book
)
9 editions published between 1997 and 1998 in English and held by 161 WorldCat member libraries worldwide
9 editions published between 1997 and 1998 in English and held by 161 WorldCat member libraries worldwide
Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups by
A. N Varchenko(
Book
)
9 editions published in 1995 in English and held by 149 WorldCat member libraries worldwide
This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The KnizhnikZamolodchikov differential equation is solved in multidimensional hypergeometric functions, and the hypergeometric functions yield the connection between the representation theories of Lie algebras and quantum groups. The topics presented in this book are not adequately covered in periodicals
9 editions published in 1995 in English and held by 149 WorldCat member libraries worldwide
This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The KnizhnikZamolodchikov differential equation is solved in multidimensional hypergeometric functions, and the hypergeometric functions yield the connection between the representation theories of Lie algebras and quantum groups. The topics presented in this book are not adequately covered in periodicals
Singularities of differentiable maps by
V. I Arnolʹd(
Book
)
5 editions published in 1985 in English and held by 44 WorldCat member libraries worldwide
5 editions published in 1985 in English and held by 44 WorldCat member libraries worldwide
Singularities of functions, wave fronts, caustics and multidimensional integrals by
V. I Arnolʹd(
Book
)
1 edition published in 2012 in English and held by 40 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 40 WorldCat member libraries worldwide
Classification des points critiques, des caustiques et des fronts d'onde by
V. I Arnolʹd(
Book
)
2 editions published in 1986 in French and held by 39 WorldCat member libraries worldwide
2 editions published in 1986 in French and held by 39 WorldCat member libraries worldwide
Monodromie et comportement asymptotique des intégrales by
V. I Arnolʹd(
Book
)
2 editions published in 1986 in French and held by 36 WorldCat member libraries worldwide
2 editions published in 1986 in French and held by 36 WorldCat member libraries worldwide
Osobennosti different︠s︡iruemykh otobrazheniĭ by
V. I Arnolʹd(
Book
)
7 editions published in 1986 in French and Russian and held by 35 WorldCat member libraries worldwide
7 editions published in 1986 in French and Russian and held by 35 WorldCat member libraries worldwide
Singularities of differentiable maps by
V. I Arnolʹd(
Book
)
4 editions published between 1988 and 2012 in English and held by 4 WorldCat member libraries worldwide
4 editions published between 1988 and 2012 in English and held by 4 WorldCat member libraries worldwide
Singularities of differentiable maps by
V. I Arnolʹd(
Book
)
3 editions published in 2012 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 2012 in English and held by 4 WorldCat member libraries worldwide
Collected works by
V. I Arnolʹd(
Book
)
2 editions published in 2014 in English and held by 1 WorldCat member library worldwide
2 editions published in 2014 in English and held by 1 WorldCat member library worldwide
Vladimir I. Arnold  Collected Works Hydrodynamics, Bifurcation Theory, Algebraic Geometry, etc. 19651972 by
V. I Arnolʹd(
)
1 edition published in 2013 in English and held by 0 WorldCat member libraries worldwide
Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his ""Collected Works"" focuses on hydrodynamics, bifurcation theory, and algebraic geometry
1 edition published in 2013 in English and held by 0 WorldCat member libraries worldwide
Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his ""Collected Works"" focuses on hydrodynamics, bifurcation theory, and algebraic geometry
Singularities of caustics and wave fronts by
V. I Arnolʹd(
)
6 editions published in 2012 in English and held by 0 WorldCat member libraries worldwide
Annotation
6 editions published in 2012 in English and held by 0 WorldCat member libraries worldwide
Annotation
Singularities of Differentiable Maps Volume II Monodromy and Asymptotic Integrals by
V. I Arnolʹd(
)
1 edition published in 1988 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1988 in English and held by 0 WorldCat member libraries worldwide
Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts by
V. I Arnolʹd(
)
1 edition published in 1985 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 0 WorldCat member libraries worldwide
Singularities of Differentiable Maps, Volume 2 Monodromy and Asymptotics of Integrals by
V. I Arnolʹd(
)
5 editions published in 2012 in English and held by 0 WorldCat member libraries worldwide
Annotation
5 editions published in 2012 in English and held by 0 WorldCat member libraries worldwide
Annotation
more
fewer
Audience Level
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Kids  General  Special 
Related Identities
 Arnolʹd, V. I. (Vladimir Igorevich) 19372010 Honoree Author Editor
 GuseĭnZade, S. M. (Sabir Medzhidovich) Author Contributor
 Khovanskiĭ, A. G. Editor
 Vasilʹev, V. A. 1956 Contributor Editor
 Etingof, P. I. (Pavel I.) 1969 Author
 Tarasov, V. (V. O.) Author
 Kotli︠a︡r, V. S. (Vladimir Semenovich)
 Givental, Alexander Contributor Editor
 Khesin, Boris Contributor Editor
 Giventalʹ, A. B.
Useful Links
Associated Subjects
Affine algebraic groups Arnolʹd, V. I.(Vladimir Igorevich), Bifurcation theory Boundary value problems Catastrophes (Mathematics) Caustics (Optics)Mathematics Celestial mechanics Cell aggregationMathematics Curves, Elliptic Differentiable mappings Differential algebra Differential equations Fluid dynamicsMathematical models Functions, Special Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Global differential geometry Hydrodynamics Hypergeometric functions KacMoody algebras KnizhnikZamolodchikov equations Mathematics Quantum groups Representations of groups Representations of Lie algebras Representations of quantum groups Singularities (Mathematics) Topological groups Topology
Alternative Names
Alexander Nikolajewitsch Wartschenko
Alexander Nikolajewitsch Wartschenko russischUSamerikanischer Mathematiker
Alexander Varchenko Russian mathematician
Varčenko, A. N.
Varčenko, Aleksandr Nikolaevič
Varchenko, A.
Varchenko, A.N.
Varchenko, A. N. 1949
Varchenko, Aleksandr 1949
Varchenko, Aleksandr Nikolaevich.
Varchenko, Aleksandr Nikolaevich 1949
Varchenko, Alexander.
Varchenko, Alexander 1949
Varchenko, Alexandre Nikolaevich
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