Varchenko, A. N. (Aleksandr Nikolaevich)
Overview
Works:  61 works in 246 publications in 5 languages and 3,081 library holdings 

Genres:  Conference papers and proceedings Bibliography Educational films Filmed lectures Nonfiction films 
Roles:  Author, Editor, Contributor, Other 
Classifications:  QA614.58, 514.72 
Publication Timeline
.
Most widely held works by
A. N Varchenko
Singularities of differentiable maps by
V. I Arnolʹd(
Book
)
82 editions published between 1985 and 2012 in 3 languages and held by 560 WorldCat member libraries worldwide
Annotation
82 editions published between 1985 and 2012 in 3 languages and held by 560 WorldCat member libraries worldwide
Annotation
Special functions, KZ type equations, and representation theory by
A. N Varchenko(
Book
)
8 editions published in 2003 in English and held by 236 WorldCat member libraries worldwide
The last twenty years have seen an active interaction between mathematics and physics. This book is devoted to one of the new areas which deals with mathematical structures related to conformal field theory and its qdeformations. We discuss the interplay between KnizhnikZamolodchikov type equations, the Bethe ansatz method, representation theory, and geometry of multidimensional hypergeometric functions. This book aims to provide an introduction to the area and expose different facets of the subject. The book contains constructions, discussions of notions, statements of main results, and il
8 editions published in 2003 in English and held by 236 WorldCat member libraries worldwide
The last twenty years have seen an active interaction between mathematics and physics. This book is devoted to one of the new areas which deals with mathematical structures related to conformal field theory and its qdeformations. We discuss the interplay between KnizhnikZamolodchikov type equations, the Bethe ansatz method, representation theory, and geometry of multidimensional hypergeometric functions. This book aims to provide an introduction to the area and expose different facets of the subject. The book contains constructions, discussions of notions, statements of main results, and il
Geometry of differential equations by
A. G Khovanskiĭ(
Book
)
9 editions published in 1998 in English and held by 201 WorldCat member libraries worldwide
This volume contains articles written by V. I. Arnold's colleagues on the occasion of his 60th birthday. The articles are mostly devoted to various aspects of geometry of differential equations and relations to global analysis and Hamiltonian mechanics
9 editions published in 1998 in English and held by 201 WorldCat member libraries worldwide
This volume contains articles written by V. I. Arnold's colleagues on the occasion of his 60th birthday. The articles are mostly devoted to various aspects of geometry of differential equations and relations to global analysis and Hamiltonian mechanics
Topics in singularity theory : V.I. Arnold's 60th anniversary collection by
A. G Khovanskiĭ(
Book
)
10 editions published in 1997 in English and held by 198 WorldCat member libraries worldwide
"We were fortunate. We studied under Arnold. We moved in his orbit and had the opportunity to discuss with him everything under the sun. For every one of us this was a rare gift, a great good fortune in our lives." from the Introduction Leading mathematician and expert teacher, V. I. Arnold turned 60 in June of 1997. This volume contains a selection of original papers prepared for the occasion of this 60th anniversary by former students and other participants in Arnold's Moscow seminar. A weekly event since the mid1960s, this seminar and its participants have been inspired by Arnold's creati
10 editions published in 1997 in English and held by 198 WorldCat member libraries worldwide
"We were fortunate. We studied under Arnold. We moved in his orbit and had the opportunity to discuss with him everything under the sun. For every one of us this was a rare gift, a great good fortune in our lives." from the Introduction Leading mathematician and expert teacher, V. I. Arnold turned 60 in June of 1997. This volume contains a selection of original papers prepared for the occasion of this 60th anniversary by former students and other participants in Arnold's Moscow seminar. A weekly event since the mid1960s, this seminar and its participants have been inspired by Arnold's creati
Why the boundary of a round drop becomes a curve of order four by
A. N Varchenko(
Book
)
9 editions published between 1991 and 1992 in English and held by 192 WorldCat member libraries worldwide
9 editions published between 1991 and 1992 in English and held by 192 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 167 WorldCat member libraries worldwide
9 editions published between 1997 and 1998 in English and held by 167 WorldCat member libraries worldwide
Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups by
A. N Varchenko(
Book
)
10 editions published in 1995 in English and held by 154 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
10 editions published in 1995 in English and held by 154 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 functions, wave fronts, caustics and multidimensional integrals by
V. I Arnolʹd(
Book
)
1 edition published in 2012 in English and held by 42 WorldCat member libraries worldwide
1 edition published in 2012 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
)
3 editions published in 1986 in French and held by 40 WorldCat member libraries worldwide
3 editions published in 1986 in French and held by 40 WorldCat member libraries worldwide
Monodromie et comportement asymptotique des intégrales by
V. I Arnolʹd(
Book
)
3 editions published in 1986 in French and held by 37 WorldCat member libraries worldwide
3 editions published in 1986 in French and held by 37 WorldCat member libraries worldwide
Singularités des applications différentiables by
V. I Arnolʹd(
Book
)
14 editions published in 1986 in French and Italian and held by 27 WorldCat member libraries worldwide
14 editions published in 1986 in French and Italian and held by 27 WorldCat member libraries worldwide
Osobennosti different︠s︡iruemykh otobrazheniĭ by
V. I Arnolʹd(
Book
)
in Russian and held by 23 WorldCat member libraries worldwide
in Russian and held by 23 WorldCat member libraries worldwide
Monodromy and asymptotics of integrals by
V. I Arnolʹd(
Book
)
4 editions published between 1988 and 2012 in English and held by 17 WorldCat member libraries worldwide
4 editions published between 1988 and 2012 in English and held by 17 WorldCat member libraries worldwide
Osobennosti different︠s︡iruemykh otobrazheniĭ : monodromii︠a︡ i asimptotiki integralov by
V. I Arnolʹd(
Book
)
5 editions published in 1984 in Russian and held by 12 WorldCat member libraries worldwide
5 editions published in 1984 in Russian and held by 12 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
Collected works by
V. I Arnolʹd(
Book
)
2 editions published in 2014 in English and held by 2 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
2 editions published in 2014 in English and held by 2 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
The classification of critical points, caustics and wave fronts by
V. I Arnolʹd(
Book
)
3 editions published between 2012 and 2013 in English and held by 1 WorldCat member library worldwide
3 editions published between 2012 and 2013 in English and held by 1 WorldCat member library worldwide
Hydrodynamics, bifurcation theory, and algebraic geometry, 19651972 by
V. I Arnolʹd(
)
1 edition published in 2013 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Arnolʹd, V. I. (Vladimir Igorevich) 19372010 Honoree Author Editor
 GuseĭnZade, S. M. (Sabir Medzhidovich) Other Author Contributor
 Khovanskiĭ, A. G. Author Editor
 Vasilʹev, V. A. 1956 Contributor Editor
 Etingof, P. I. (Pavel I.) 1969 Author
 Sosinskiĭ, A. B. (Alekseĭ Bronislavovich) Translator
 Tarasov, V. (V. O.) Author
 Kotli︠a︡r, V. S. (Vladimir Semenovich)
 Givental, Alexander Contributor Editor
 Khesin, Boris Contributor Editor
Useful Links
Associated Subjects
Affine algebraic groups Algebra Arnolʹd, V. I.(Vladimir Igorevich), Bifurcation theory Boundary value problems Catastrophes (Mathematics) Celestial mechanics Cell aggregationMathematics Critical point theory (Mathematical analysis) Curves, Elliptic Differentiable mappings Differential algebra Differential equations Differential equations, Partial Fluid dynamicsMathematical models Functions, Special Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Global differential geometry Holomorphic mappings Hydrodynamics Hypergeometric functions Integral equationsAsymptotic theory KacMoody algebras KnizhnikZamolodchikov equations Mathematics Monodromy groups 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 matemático ruso
Alexander Varchenko Russian mathematician
Alexander Varchenko Russisch wiskundige
Varčenko, A. N.
Varčenko, Aleksandr Nikolaevič
Varčenko, Aleksandr Nikolaevič 1949
Varchenko, A.
Varchenko, A. 1949
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
Wartschenko, Alexander Nikolajewitsch 1949
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