Varchenko, A. N. (Aleksandr Nikolaevich)
Overview
Works:  55 works in 143 publications in 4 languages and 2,486 library holdings 

Genres:  Conference proceedings Bibliography 
Roles:  Author, Editor, Thesis advisor 
Classifications:  QA613.64, 514.72 
Publication Timeline
.
Most widely held works by
A. N Varchenko
Singularities of differentiable maps
by
V. I Arnolʹd(
Book
)
32 editions published between 1984 and 2012 in 3 languages and held by 456 WorldCat member libraries worldwide
32 editions published between 1984 and 2012 in 3 languages and held by 456 WorldCat member libraries worldwide
Singularities of differentiable maps
by
V. I Arnolʹd(
)
3 editions published in 2012 in English and held by 288 WorldCat member libraries worldwide
3 editions published in 2012 in English and held by 288 WorldCat member libraries worldwide
Singularities of differentiable maps
by
V. I Arnolʹd(
)
2 editions published in 2012 in English and held by 281 WorldCat member libraries worldwide
2 editions published in 2012 in English and held by 281 WorldCat member libraries worldwide
Special functions, KZ type equations, and representation theory
by
A. N Varchenko(
Book
)
5 editions published between 2003 and 2004 in English and held by 225 WorldCat member libraries worldwide
5 editions published between 2003 and 2004 in English and held by 225 WorldCat member libraries worldwide
Why the boundary of a round drop becomes a curve of order four
by
A. N Varchenko(
Book
)
8 editions published between 1992 and 2004 in English and held by 202 WorldCat member libraries worldwide
8 editions published between 1992 and 2004 in English and held by 202 WorldCat member libraries worldwide
Geometry of differential equations
(
Book
)
6 editions published in 1998 in English and held by 196 WorldCat member libraries worldwide
6 editions published in 1998 in English and held by 196 WorldCat member libraries worldwide
Topics in singularity theory : V.I. Arnold's 60th anniversary collection
(
Book
)
5 editions published in 1997 in English and held by 191 WorldCat member libraries worldwide
5 editions published in 1997 in English and held by 191 WorldCat member libraries worldwide
Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups
by
A. N Varchenko(
Book
)
6 editions published in 1995 in English and held by 163 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
6 editions published in 1995 in English and held by 163 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
Geometry of qhypergeometric functions, quantum affine algebras and elliptic quantum groups
by
V Tarasov(
Book
)
3 editions published in 1997 in English and held by 133 WorldCat member libraries worldwide
3 editions published in 1997 in English and held by 133 WorldCat member libraries worldwide
Singularities of differentiable maps
by
V. I Arnolʹd(
Book
)
5 editions published in 1985 in English and held by 42 WorldCat member libraries worldwide
5 editions published in 1985 in English and held by 42 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 38 WorldCat member libraries worldwide
2 editions published in 1986 in French and held by 38 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 38 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 38 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
Collected works
by
V. I Arnolʹd(
)
1 edition published in 2014 in English and held by 29 WorldCat member libraries worldwide
1 edition published in 2014 in English and held by 29 WorldCat member libraries worldwide
Osobennosti different︠s︡iruemykh otobrazheniĭ
by
V. I Arnolʹd(
Book
)
in Russian and held by 22 WorldCat member libraries worldwide
in Russian and held by 22 WorldCat member libraries worldwide
Singularities of differentiable maps
by Vladimir I Arnol·d(
Book
)
1 edition published in 1985 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 16 WorldCat member libraries worldwide
Multidimensional hypergeometric functions and their appearance in conformal field theory, algebraic ktheory, algebraic geometry, etc
by
A. N Varchenko(
Visual
)
2 editions published in 1990 in English and held by 11 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 11 WorldCat member libraries worldwide
MULTIDIMENSIONAL HYPERGEOMETRIC FUNCTIONS THE REPRESENTATION THEORY OF LIE ALGEBRAS AND QUANTUM GROUPS
by
A. N Varchenko(
)
2 editions published in 1995 in English and held by 11 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 multidimens
2 editions published in 1995 in English and held by 11 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 multidimens
Pochemu granit︠s︡a krugloĭ kapli prevrashchaetsi︠a︡ v inversnyĭ obraz ėllipsa
by
A. N Varchenko(
Book
)
2 editions published in 1995 in Russian and held by 9 WorldCat member libraries worldwide
2 editions published in 1995 in Russian and held by 9 WorldCat member libraries worldwide
Hydrodynamics, bifurcation theory, and algebraic geometry, 19651972
by
V. I Arnolʹd(
)
1 edition published in 2013 in English and held by 9 WorldCat member libraries worldwide
This book features the collected works of Vladimir Arnold, one of the great mathematical scientists of our time. This volume focuses on hydrodynamics, bifurcation theory, and algebraic geometry
1 edition published in 2013 in English and held by 9 WorldCat member libraries worldwide
This book features the collected works of Vladimir Arnold, one of the great mathematical scientists of our time. This volume focuses on hydrodynamics, bifurcation theory, and algebraic geometry
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Related Identities
 Arnolʹd, V. I. (Vladimir Igorevich) 19372010 Author Editor
 GuseĭnZade, S. M. (Sabir Medzhidovich)
 Khovanskiĭ, A. G.
 Vasilʹev, V. A. 1956
 Etingof, P. I. (Pavel I.) 1969
 Tarasov, V. (V. O.) Author
 Kotli︠a︡r, V. S. (Vladimir Semenovich)
 Khesin, Boris Editor
 Givental, Alexander Editor
 Giventalʹ, A. B.
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Associated Subjects
Affine algebraic groups Bifurcation theory Boundary value problems Catastrophes (Mathematics) Curves, Elliptic Differentiable mappings Differential algebra Differential equations Fluid dynamicsMathematical models Functions, Special Geometry, Algebraic Geometry, Differential Hydrodynamics Hypergeometric functions KacMoody algebras KnizhnikZamolodchikov equations Mathematics Quantum groups Representations of groups Representations of Lie algebras Representations of quantum groups Singularities (Mathematics) Topology
Alternative Names
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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