Retakh, Vladimir
Overview
Works:  15 works in 61 publications in 3 languages and 980 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author 
Publication Timeline
.
Most widely held works by
Vladimir Retakh
The unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand by
P. I Etingof(
Book
)
19 editions published between 2006 and 2007 in English and held by 239 WorldCat member libraries worldwide
"A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory. Written by leading mathematicians, the text is broadly divided into two sections: the first is devoted to developments at the intersection of geometry and physics, and the second to representation theory and algebraic geometry. Topics include conformal field theory, Ktheory, noncommutative geometry, gauge theory, representations of infinitedimensional Lie algebras, and various aspects of the Langlands program. Graduate students and researchers will benefit from and find inspiration in this broad and unique work, which brings together fundamental results in a number of disciplines and highlights the rewards of an interdisciplinary approach to mathematics and physics."Publisher's website
19 editions published between 2006 and 2007 in English and held by 239 WorldCat member libraries worldwide
"A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory. Written by leading mathematicians, the text is broadly divided into two sections: the first is devoted to developments at the intersection of geometry and physics, and the second to representation theory and algebraic geometry. Topics include conformal field theory, Ktheory, noncommutative geometry, gauge theory, representations of infinitedimensional Lie algebras, and various aspects of the Langlands program. Graduate students and researchers will benefit from and find inspiration in this broad and unique work, which brings together fundamental results in a number of disciplines and highlights the rewards of an interdisciplinary approach to mathematics and physics."Publisher's website
Noncommutative birational geometry, representations and combinatorics : AMS Special Session on Noncommutative Birational Geometry,
Representations and Cluster Algebras, January 67, 2012, Boston, MA by
Arkady Berenstein(
Book
)
8 editions published in 2013 in English and held by 115 WorldCat member libraries worldwide
"This volume contains the proceedings of the AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, held from January 67, 2012, in Boston, MA. The papers deal with various aspects of noncommutative birational geometry and related topics, focusing mainly on structure and representations of quantum groups and algebras, braided algebras, rational series in free groups, Poisson brackets on free algebras, and related problems in combinatorics. This volume is useful for researchers and graduate students in mathematics and mathematical physics who want to be introduced to different areas of current research in the new area of noncommutative algebra and geometry."Publisher's website
8 editions published in 2013 in English and held by 115 WorldCat member libraries worldwide
"This volume contains the proceedings of the AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, held from January 67, 2012, in Boston, MA. The papers deal with various aspects of noncommutative birational geometry and related topics, focusing mainly on structure and representations of quantum groups and algebras, braided algebras, rational series in free groups, Poisson brackets on free algebras, and related problems in combinatorics. This volume is useful for researchers and graduate students in mathematics and mathematical physics who want to be introduced to different areas of current research in the new area of noncommutative algebra and geometry."Publisher's website
The Gelfand mathematical seminars, 19961999 by
I. M Gelʹfand(
Book
)
10 editions published in 2000 in English and held by 62 WorldCat member libraries worldwide
Dedicated to the memory of ChihHan Sah, this volume continues a long tradition of one of the most influential mathematical seminars of this century. A number of topics are covered, including combinatorial geometry, connections between logic and geometry, Lie groups, algebras and their representations. An additional area of importance is noncommutative algebra and geometry, and its relations to modern physics. Distinguished mathematicians contributing to this work: T.V. Alekseevskaya V. Kac A.V. Borovik A. KazarnovskyKrol C.H. Sah* M. Kontsevich G. Cherlin A. Radul J.L. Dupont A.L. Rosenberg I.M. Gelfand N. White The Gelfand Mathematical Seminar volumes stimulate the birth of significant ideas in contemporary mathematics and remain invaluable reference material. * indicates deceased contributor (Production: please ensure that appropriate symbol be incorporated onto the final back cover design)
10 editions published in 2000 in English and held by 62 WorldCat member libraries worldwide
Dedicated to the memory of ChihHan Sah, this volume continues a long tradition of one of the most influential mathematical seminars of this century. A number of topics are covered, including combinatorial geometry, connections between logic and geometry, Lie groups, algebras and their representations. An additional area of importance is noncommutative algebra and geometry, and its relations to modern physics. Distinguished mathematicians contributing to this work: T.V. Alekseevskaya V. Kac A.V. Borovik A. KazarnovskyKrol C.H. Sah* M. Kontsevich G. Cherlin A. Radul J.L. Dupont A.L. Rosenberg I.M. Gelfand N. White The Gelfand Mathematical Seminar volumes stimulate the birth of significant ideas in contemporary mathematics and remain invaluable reference material. * indicates deceased contributor (Production: please ensure that appropriate symbol be incorporated onto the final back cover design)
A theory of noncommutative determinants and characteristic functions of graphs I by
I. M Gelʹfand(
Book
)
2 editions published in 1993 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 5 WorldCat member libraries worldwide
The ArnoldGelfand mathematical seminars by
V. I Arnolʹd(
)
6 editions published between 1996 and 1997 in English and held by 4 WorldCat member libraries worldwide
It is very tempting but a little bit dangerous to compare the style of two great mathematicians or of their schools. I think that it would be better to compare papers from both schools dedicated to one area, geometry and to leave conclusions to a reader of this volume. The collaboration of these two schools is not new. One of the best mathematics journals Functional Analysis and its Applications had I.M. Gelfand as its chief editor and V.I. Arnold as vicechief editor. Appearances in one issue of the journal presenting remarkable papers from seminars of Arnold and Gelfand always left a strong impact on all of mathematics. We hope that this volume will have a similar impact. Papers from Arnold's seminar are devoted to three important directions developed by his school: Symplectic Geometry (F. Lalonde and D. McDuff), Theory of Singularities and its applications (F. Aicardi, I. Bogaevski, M. Kazarian), Geometry of Curves and Manifolds (S. Anisov, V. Chekanov, L. Guieu, E. Mourre and V. Ovsienko, S. GuseinZade and S. Natanzon). A little bit outside of these areas is a very interesting paper by M. Karoubi Produit cyclique d'espaces et operations de Steenrod
6 editions published between 1996 and 1997 in English and held by 4 WorldCat member libraries worldwide
It is very tempting but a little bit dangerous to compare the style of two great mathematicians or of their schools. I think that it would be better to compare papers from both schools dedicated to one area, geometry and to leave conclusions to a reader of this volume. The collaboration of these two schools is not new. One of the best mathematics journals Functional Analysis and its Applications had I.M. Gelfand as its chief editor and V.I. Arnold as vicechief editor. Appearances in one issue of the journal presenting remarkable papers from seminars of Arnold and Gelfand always left a strong impact on all of mathematics. We hope that this volume will have a similar impact. Papers from Arnold's seminar are devoted to three important directions developed by his school: Symplectic Geometry (F. Lalonde and D. McDuff), Theory of Singularities and its applications (F. Aicardi, I. Bogaevski, M. Kazarian), Geometry of Curves and Manifolds (S. Anisov, V. Chekanov, L. Guieu, E. Mourre and V. Ovsienko, S. GuseinZade and S. Natanzon). A little bit outside of these areas is a very interesting paper by M. Karoubi Produit cyclique d'espaces et operations de Steenrod
Vvedenie v teoriju kategorij i funktorov by
Ionel Bucur(
Book
)
3 editions published in 1972 in Russian and held by 3 WorldCat member libraries worldwide
3 editions published in 1972 in Russian and held by 3 WorldCat member libraries worldwide
The Gelfand mathematical seminars : 19901992 by
I. M Gelʹfand(
Book
)
2 editions published between 1993 and 2000 in English and held by 2 WorldCat member libraries worldwide
This Seminar began in Moscow in November 1943 and has continued without interruption up to the present. We are happy that with this vol ume, Birkhiiuser has begun to publish papers of talks from the Seminar. It was, unfortunately, difficult to organize their publication before 1990. Since 1990, most of the talks have taken place at Rutgers University in New Brunswick, New Jersey. Parallel seminars were also held in Moscow, and during July, 1992, at IRES in BuressurYvette, France. Speakers were invited to submit papers in their own style, and to elaborate on what they discussed in the Seminar. We hope that readers will find the diversity of styles appealing, and recognize that to some extent this reflects the diversity of styles in a mathematical society. The principal aim was to have interesting talks, even if the topic was not especially popular at the time. The papers listed in the Table of Contents reflect some of the rich variety of ideas presented in the Seminar. Not all the speakers submit ted papers. Among the interesting talks that influenced the seminar in an important way, let us mention, for example, that of R. Langlands on per colation theory and those of J. Conway and J. McKay on sporadic groups. In addition, there were many extemporaneous talks as well as short discus sions
2 editions published between 1993 and 2000 in English and held by 2 WorldCat member libraries worldwide
This Seminar began in Moscow in November 1943 and has continued without interruption up to the present. We are happy that with this vol ume, Birkhiiuser has begun to publish papers of talks from the Seminar. It was, unfortunately, difficult to organize their publication before 1990. Since 1990, most of the talks have taken place at Rutgers University in New Brunswick, New Jersey. Parallel seminars were also held in Moscow, and during July, 1992, at IRES in BuressurYvette, France. Speakers were invited to submit papers in their own style, and to elaborate on what they discussed in the Seminar. We hope that readers will find the diversity of styles appealing, and recognize that to some extent this reflects the diversity of styles in a mathematical society. The principal aim was to have interesting talks, even if the topic was not especially popular at the time. The papers listed in the Table of Contents reflect some of the rich variety of ideas presented in the Seminar. Not all the speakers submit ted papers. Among the interesting talks that influenced the seminar in an important way, let us mention, for example, that of R. Langlands on per colation theory and those of J. Conway and J. McKay on sporadic groups. In addition, there were many extemporaneous talks as well as short discus sions
Noncommutative marked surfaces by
Arkady Berenstein(
Book
)
3 editions published in 2015 in English and German and held by 2 WorldCat member libraries worldwide
The aim of the paper is to attach a noncommutative clusterlike structure to each marked surface s. This is a noncommutative algebra As generated by "noncommutative geodesics" between marked points subject to certain triangle relations and noncommutative analogues of PtolemyPlücker relations. It turns out that the algebra As exhibits a noncommutative Laurent Phenomenon with respect to any triangulation of s, which confirms its "cluster nature". As a surprising byproduct, we obtain a new topological invariant of s, which is a free or a 1relator group easily computable in terms of any triangulation of s. Another application is the proof of Laurentness and positivity of certain discrete noncommutative integrable systems
3 editions published in 2015 in English and German and held by 2 WorldCat member libraries worldwide
The aim of the paper is to attach a noncommutative clusterlike structure to each marked surface s. This is a noncommutative algebra As generated by "noncommutative geodesics" between marked points subject to certain triangle relations and noncommutative analogues of PtolemyPlücker relations. It turns out that the algebra As exhibits a noncommutative Laurent Phenomenon with respect to any triangulation of s, which confirms its "cluster nature". As a surprising byproduct, we obtain a new topological invariant of s, which is a free or a 1relator group easily computable in terms of any triangulation of s. Another application is the proof of Laurentness and positivity of certain discrete noncommutative integrable systems
[Mathematical seminars] by Gelfand Mathematical Seminars(
Book
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
The Gelfand Mathematical Seminars 19971999(
Book
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
From factorizations of noncommutative polynomials to combinatorial topology by
Vladimir Retakh(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
The Unity of Mathematics In Honor of the Ninetieth Birthday of I.M. Gelfand(
)
2 editions published between 2006 and 2007 in English and held by 1 WorldCat member library worldwide
2 editions published between 2006 and 2007 in English and held by 1 WorldCat member library worldwide
Noncommutative loops over Lie algebras(
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
Noncommutative loops over Lie algebras by
Arkady Berenstein(
Book
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
Unity of Mathematics : In Honor of the Ninetieth Birthday of I.M. Gelfand, The. Progress in Mathematics, Volume 244(
)
1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide
A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory. Written by leading mathematicians, the text is broadly divided into two sections: the first is devoted to developments at the intersection of geometry and physics, and the second to representation theory and algebraic geometry. The topics include conformal field theory, Ktheory, noncommutative geometry, gauge theory, representations of infinitedimensional Lie algebras, and various aspects of the Langlands program. Graduate students and researchers will benefit from and find inspiration in this broad and unique work, which brings together fundamental results in a number of disciplines and highlights the rewards of an interdisciplinary approach to mathematics and physics
1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide
A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory. Written by leading mathematicians, the text is broadly divided into two sections: the first is devoted to developments at the intersection of geometry and physics, and the second to representation theory and algebraic geometry. The topics include conformal field theory, Ktheory, noncommutative geometry, gauge theory, representations of infinitedimensional Lie algebras, and various aspects of the Langlands program. Graduate students and researchers will benefit from and find inspiration in this broad and unique work, which brings together fundamental results in a number of disciplines and highlights the rewards of an interdisciplinary approach to mathematics and physics
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Related Identities
 Gelʹfand, I. M. (Izrailʹ Moiseevich) Honoree Dedicatee Author Editor
 Etingof, P. I. (Pavel I.) 1969 Author Editor
 Singer, I. M. (Isadore Manuel) 1924 Editor
 Berenstein, Arkady Author Editor
 Arnold, V. I. Author Editor
 Smirnov, M. Editor
 Borovik, A. V.
 Université du Québec à Montréal Laboratoire de combinatoire et d'informatique mathématique
 Gelfand mathematical seminar
 Université du Québec à Montréal Département de mathématiques et d'informatique
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Associated Subjects
Algebra Categories (Mathematics) Combinatorial analysis Free algebras Functor theory Geometry Geometry, Algebraic Global analysis (Mathematics) Group theory Ktheory Lie groups Mathematical physics Mathematics MathematicsCongresses Physics Quantum groups Rings Rings (Algebra) Singularities (Mathematics) Topological groups Topology
Alternative Names
Retach, Vladimir S. 1948
Retah, V. S.
Retakh, V. S.
Retakh, V. S. 1948
Retakh, Vladimir.
Retakh, Vladimir S.
Retakh, Vladimir S. 1948
Vladimir Retakh American mathematician
Vladimir Retakh mathématicien russe
Vladimir Retakh Russian mathematician
Vladimir Retakh Russisch wiskundige
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