Peter Koroteev's Books

Branes and DAHA Representations

By: Sergei Gukov,Peter Koroteev,Satoshi Nawata,Du Pei,Ingmar Saberi

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Branes and DAHA Representations

By: Sergei Gukov,Peter Koroteev,Satoshi Nawata,Du Pei,Ingmar Saberi

In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometry, quantum field theory, and string theory. One of the challenges of modern mathematical physics is to understand rigorously the idea of quantization. The program of quantization by branes, which comes from string theory, is explored in the book. This open access book provides a detailed description of the geometric approach to the representation theory of the double affine Hecke algebra (DAHA) of rank one. Spherical DAHA is known to arise from the deformation quantization of the moduli space of SL(2,C) flat connections on the punctured torus. The authors demonstrate the study of the topological A-model on this moduli space and establish a correspondence between Lagrangian branes of the A-model and DAHA modules. The finite-dimensional DAHA representations are shown to be in one-to-one correspondence with the compact Lagrangian branes. Along the way, the authors discover new finite-dimensional indecomposable representations. They proceed to embed the A-model story in an M-theory brane construction, closely related to the one used in the 3d/3d correspondence; as a result, modular tensor categories behind particular finite-dimensional representations with PSL(2,Z) action are identified. The relationship of Coulomb branch geometry and algebras of line operators in 4d N = 2* theories to the double affine Hecke algebra is studied further by using a further connection to the fivebrane system for the class S construction. The book is targeted at experts in mathematical physics, representation theory, algebraic geometry, and string theory. This is an open access book.

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147

Publisher

Springer Nature

Published Date

ISBN 10

3031281543

ISBN 13

9783031281549

The Judicial System of Russia

By: Kathryn Hendley,Peter H. Solomon Jr.

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The Judicial System of Russia

By: Kathryn Hendley,Peter H. Solomon Jr.

The Judicial System of Russia paints a portrait of the courts of the Russian Federation under Putin, how they work in practice, and what shapes the behaviour of its judges. It stresses the dual nature of a judicial system, where ordinary cases are for the most part handled fairly, but where cases of interest to powerful persons are subject to influence—a common situation in authoritarian states. In so doing, the authors trace the origins of some contemporary practices to the Soviet past, but also identify novelties. They pay close attention to the struggles of reformers to make the courts fairer and more efficient, along with the measures taken to ensure that judges conform to the expectations of their political masters. This means dealing with the evolution of judicial governance, including the selection, promotion, and disciplining of judges. In studying the actual operation of the courts, the authors take a socio-legal approach, emphasizing how different players (petitioners, respondents, lawyers, prosecutors, accused, judges) behave and why. This means dealing with the full gamut of courts from justices of the peace through the Supreme and Constitutional Courts and analysing their conduct in ordinary civil disputes, criminal cases, business disputes, administrative justice (claims against state officials), and constitutional matters. The authors also examine the relation of the public to the courts, including its readiness to litigate disputes despite generally negative views of the courts. This analysis of the administration of justice in Russia covers both the Constitutional Amendments of 2020 and developments relating to the first months of the 2022 War in Ukraine. It is a must read for academics, practitioners, and all those with an interest in comparative courts and Russia's judicial system.

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273

Publisher

Oxford University Press

Published Date

ISBN 10

0192648578

ISBN 13

9780192648570

Law and Legal System of the Russian Federation - Sixth Edition

By: Peter B. Maggs,Olga Schwartz,William Burnham

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Law and Legal System of the Russian Federation - Sixth Edition

By: Peter B. Maggs,Olga Schwartz,William Burnham

This book is a detailed treatment of the Russian legal system written especially for English-speaking law students and lawyers. While it is designed primarily as a casebook, extended discussions of the law, numerous citations to original Russian sources, and detailed suggestions for finding these sources on the Internet also make it useful as a reference for scholars specializing in Russian studies and for lawyers who know Russian but not Russian law. The authors have decades of experience following the Russian legal system, with one concentrating on human rights, court procedure, and criminal law and procedure, the other on civil, commercial, and tax law. Chapters cover key aspects of the Russian legal system, including sources of law, the judicial system, the legal profession, constitutional law, individual rights, civil and commercial law, civil procedure, private international law, foreign investment law, criminal procedure, administrative law, and tax law. The book covers major changes in Russian law since the previous edition was published, including more reliance on judicial precedent, increasing the independence of criminal investigators from prosecutors, dealing with abuse of the legal system by corrupt officials to steal businesses from their rightful owners, and closing loopholes in the tax system. The new edition also chronicles the continuing struggle of the European Court of Human Rights and activist Russian lawyers to push Russian law toward international standards.

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957

Publisher

Juris Publishing, Inc.

Published Date

ISBN 10

1578234433

ISBN 13

9781578234431

Laser-Induced Dynamic Gratings

By: Hans Joachim Eichler,Peter Günter,Dieter W. Pohl

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Laser-Induced Dynamic Gratings

By: Hans Joachim Eichler,Peter Günter,Dieter W. Pohl

The invention ofthe laser 25years ago resulted in powerfullight sources which led to the observation of unexpected and striking phenomena. New fields of science such as holography and nonlinear optics developed constituting the basis of this volume. The classical principle of linear superposition of light wavesdoes not hold anymore. Two laser beams crossing in a suitable material may produce a set of new beams with different directions and frequencies. The interaction of light waves can be understood by considering the optical grating structures which develop in the overlap region. The optical properties of matter become spatially modulated in the interference region of two light waves. Permanent holographic gratings have been produced in this way by photographic processes for many years. In contrast, dynamic or transient gratings disappear after the inducing light source, usually a laser, has been switched off. The grating amplitude is controlled by the light intensity. Dynamic gratings have been induced in a large number ofsolids, liquids, and gases, and are detected by diffraction, 'forced light scattering' of a third probing beam, or by self-diffraction of the light waves inducing the grating. The combined interference and diffraction effect corresponds to four-wave mixing (FWM) in the language of nonlinear optics. The process is called degenerate ifthe frequenciesofthe three incident wavesand the scattered wave are equal. Degenerate four-wave mixing (DFWM) is a simple method to achieve phase conjugation, i.e. to generate a wave which propagates time reversed with respect to an incident wave.

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Page Count

270

Publisher

Springer

Published Date

ISBN 10

3540396624

ISBN 13

9783540396628

Dictionary of Carbohydrates

By: Peter M. Collins

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Dictionary of Carbohydrates

By: Peter M. Collins

Dictionary of Carbohydrates print entries are listed in alphabetical order by entry name, name index, and molecular formula index. The data included in each entry includes:

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968

Publisher

CRC Press

Published Date

ISBN 10

0412386704

ISBN 13

9780412386701

Branes and DAHA Representations

By: Sergei Gukov,Peter Koroteev,Satoshi Nawata,Du Pei,Ingmar Saberi

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Branes and DAHA Representations

By: Sergei Gukov,Peter Koroteev,Satoshi Nawata,Du Pei,Ingmar Saberi

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Write a review

Solve jigsaw puzzle

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Page Count

147

Publisher

Springer Nature

Published Date

ISBN 10

3031281543

ISBN 13

9783031281549

Book's by Peter Koroteev

Branes and DAHA Representations

Branes and DAHA Representations

The Judicial System of Russia

The Judicial System of Russia

Law and Legal System of the Russian Federation - Sixth Edition

Law and Legal System of the Russian Federation - Sixth Edition

Laser-Induced Dynamic Gratings

Laser-Induced Dynamic Gratings

Dictionary of Carbohydrates

Dictionary of Carbohydrates

Branes and DAHA Representations

Branes and DAHA Representations

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