Vladimir Hinich's Books

Maurer–Cartan Methods in Deformation Theory

The Twisting Procedure

By: Vladimir Dotsenko,Sergey Shadrin,Bruno Vallette

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Maurer–Cartan Methods in Deformation Theory

The Twisting Procedure

By: Vladimir Dotsenko,Sergey Shadrin,Bruno Vallette

Covering an exceptional range of topics, this text provides a unique overview of the Maurer—Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory.

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Page Count

188

Publisher

Cambridge University Press

Published Date

ISBN 10

1108967027

ISBN 13

9781108967020

Spectral Theory and Analytic Geometry over Non-Archimedean Fields

By: Vladimir G. Berkovich

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Spectral Theory and Analytic Geometry over Non-Archimedean Fields

By: Vladimir G. Berkovich

The purpose of this book is to introduce a new notion of analytic space over a non-Archimedean field. Despite the total disconnectedness of the ground field, these analytic spaces have the usual topological properties of a complex analytic space, such as local compactness and local arcwise connectedness. This makes it possible to apply the usual notions of homotopy and singular homology. The book includes a homotopic characterization of the analytic spaces associated with certain classes of algebraic varieties and an interpretation of Bruhat-Tits buildings in terms of these analytic spaces. The author also studies the connection with the earlier notion of a rigid analytic space. Geometrical considerations are used to obtain some applications, and the analytic spaces are used to construct the foundations of a non-Archimedean spectral theory of bounded linear operators. This book requires a background at the level of basic graduate courses in algebra and topology, as well as some familiarity with algebraic geometry. It would be of interest to research mathematicians and graduate students working in algebraic geometry, number theory, and -adic analysis.

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Page Count

181

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821890204

ISBN 13

9780821890202

Reexamining Economic and Political Reforms in Russia, 1985–2000

Generations, Ideas, and Changes

By: Vladimir Gel'man,Dmitry Travin,Otar Marganiya

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Reexamining Economic and Political Reforms in Russia, 1985–2000

Generations, Ideas, and Changes

By: Vladimir Gel'man,Dmitry Travin,Otar Marganiya

Reexamining Economic and Political Reforms in Russia, 1985–2000: Generations, Ideas, and Changes analyzes the impact of generational changes and ideational changes on major political and economic reforms conducted in Russia during the late twentieth century. This book examines how the policy agenda was shaped by the ideas of the generations’ representatives for the “sixtiers” and “seventiers.” Representatives of the generation of “sixtiers” conducted reforms from 1985 to 1991 and invested major efforts in political liberalization but did not pay enough attention to economic reforms. On the other hand, the reformers from the generation of “seventiers,” who were in charge of policy making from 1991 to 1998, were genuinely oriented toward market building but rather insensitive to the democratization of the political regime. This book explores how these differences in ideational agendas produced inconsistent and controversial outcomes from both stages of reforms.

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Page Count

193

Publisher

Lexington Books

Published Date

ISBN 10

0739183621

ISBN 13

9780739183625

Studies in Lie Theory

Dedicated to A. Joseph on his Sixtieth Birthday

By: Joseph Bernstein,Vladimir Hinich,Anna Melnikov

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Studies in Lie Theory

Dedicated to A. Joseph on his Sixtieth Birthday

By: Joseph Bernstein,Vladimir Hinich,Anna Melnikov

Contains new results on different aspects of Lie theory, including Lie superalgebras, quantum groups, crystal bases, representations of reductive groups in finite characteristic, and the geometric Langlands program

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Page Count

508

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817644784

ISBN 13

9780817644789

Book's by Vladimir Hinich

Maurer–Cartan Methods in Deformation Theory

Maurer–Cartan Methods in Deformation Theory

Spectral Theory and Analytic Geometry over Non-Archimedean Fields

Spectral Theory and Analytic Geometry over Non-Archimedean Fields

Reexamining Economic and Political Reforms in Russia, 1985–2000

Reexamining Economic and Political Reforms in Russia, 1985–2000

Studies in Lie Theory

Studies in Lie Theory

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