The Gelfand Mathematical Seminars  1990-1992 ~ 1996-1999

L. Corwin, I. Gelfand, J. Lepowsky, editors

Dedicated to the memory of Chih-Han 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. Kazarnovsky-Krol 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)

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The world famous Gelfand Seminars began in Moscow in November 1943 and have continued uninterrupted to the present time, having recently moved their location to Rutgers University in New Brunswick, New Jersey. Parallel seminars have also been held in Moscow during July 1992, and at the IHES in Bures-sur-Yvette, France. The Seminars have always been known for their breadth of topics and diversity of styles - a true globalization of the art and science of mathematics. Many renowned mathematicians have presented new and interesting ideas at these seminars and been challenged and stimulated by the lively interaction with their colleagues and graduate students. Among the mathematicians represented in the 1990-1992 Seminars are: Jean-Luc Brylinski L. Corwin A. M. Gabrielov 1. M. Gelfand B. Goncharov D. Gorenstein Y.-Z. Huang M. M. Kapranov D. Kazhdan

「Nielsen BookData」より

The world famous Gelfand Seminars began in Moscow in November 1943 and have continued uninterrupted to the present time, having recently moved their location to Rutgers University in New Brunswick, New Jersey. Parallel seminars have also been held in Moscow during July 1992, and at the IHES in Bures-sur-Yvette, France. The Seminars have always been known for their breadth of topics and diversity of styles - a true globalization of the art and science of mathematics. Many renowned mathematicians have presented new and interesting ideas at these seminars and been challenged and stimulated by the lively interaction with their colleagues and graduate students. Among the mathematicians represented in the 1990-1992 Seminars are: Jean-Luc Brylinski L. Corwin A. M. Gabrielov 1. M. Gelfand B. Goncharov D. Gorenstein Y.-Z. Huang M. M. Kapranov D. Kazhdan

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[目次]

  • Preface I.M. Gelfand The Degeneracy of Two Spectral Sequences Jean-Luc Brylinski Hopf Algebra Structures for the Heisenberg Algebra: I L. Corwin and I. M. Gelfand Avalanches, Sandpiles and Tutte Decompositions A. Gabrielov On the Dimension and Degree of the Projective Dual Variety: A q-Analog of the Katz-Kleiman Formula I. M. Gelfand and M. M. Kapranov Nonlocal Differentials I. M. Gelfand and M. M. Smirnov On the Local Geometry of a Bihamiltonian Structure 1. M. Gelfand and I. Zakharevich The classical polylogarithms, algebraic K-theory and CF(n) A. B. Goncharov A brief history of the sporadic simple groups Daniel Gorenstein Representations of the quantized function algebra's 2-categories and Zarnoladchikov tetrahedra equation D. Kazhdan and Y. Soibelman Formal (Non)-Commutative Symplectic Geometry Maxim Kontsevich Vertex operator algebras and operads Y-Zhi Huang and James Lepowsky Constructible functions, Lagrangian cycles and Computational Geometry Pierre Schapira Quantum groups and perverse sheaves. An example Vadim Schechtman Linearly Recursive Sequences, Witt Algebras and Quantum Groups E. J. Taft Complexes of Connected Graphs V. A. Vassiliev

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[目次]

  • Questions and Answers about Geometric Evolution Processes and Crystal Growth.- Remarks on the Extatic Points of Plane Curves.- Gibbs Measures and Quasi-Periodic Solutions for Nonlinear Hamiltonian Partial Differential Equations.- Radon Transform and Functionals on the Spaces of Curves.- A Unified Method for Solving Linear and Nonlinear Evolution Equations and an Application to Integrable Surfaces.- Noncommutative Vieta Theorem and Symmetric Functions.- Chern-Simons Classes and Cocycles on the Lie Algebra of the Gauge Group.- Cycles for Asymptotic Solutions and the Weyl Group.- Homology of Moduli of Curves and Commutative Homotopy Algebras.- Canonical States on the Group of Automorphisms of a Homogeneous Tree.- Second Quantization of the Wilson Loop.- The Homogeneous Complex Monge-Ampere Equation and the Infinite Dimensional Versions of Classic Symmetric Spaces.- Novikov Inequalities for Vector Fields.

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[目次]

  • The Degeneracy of Two Spectral Sequences.- Hopf Algebra Structures for the Heisenberg Algebra: I.- Avalanches, Sandpiles and Tutte Decompositions.- On the Dimension and Degree of the Projective Dual Variety: A q-Analog of the Katz-Kleiman Formula.- Crofton Densities and Nonlocal Differentials.- On the Local Geometry of a Bihamiltonian Structure.- The Classical Polylogarithms, Algebraic K-Theory and ?F(N).- A Brief History of the Sporadic Simple Groups.- Vertex Operator Algebras and Operads.- Representations of the Quantized Function Algebras, 2-Categories and Zamolodchikov Tetrahedra Equation.- Formal (Non)-Commutative Symplectic Geometry.- Constructible Functions, Lagrangian Cycles and Computational Geometry.- Quantum Groups and Perverse Sheaves. An Example.- Linearly Recursive Sequences, Witt Algebras and Quantum Groups.- Complexes of Connected Graphs.

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この本の情報

書名 The Gelfand Mathematical Seminars
著作者等 Corwin, Lawrence J.
Gelʹfand, Izrailʹ Moiseevich
Lepowsky, J.
Gel'fand I.M.
Gelfand I. M.
Gelfland I.
Lepowsky J. (All of Rutgers University New Jersey USA)
Lepowsky J.
Lepowsky James
Retakh V.S. (both of Rutgers University New Brunswick USA)
Retakh V.S.
Smirnov M. M.
etc.
Smirnov Mikhail M.
巻冊次 1990-1992
1993-1995
1996-1999
出版元 Birkhäuser
刊行年月 c1993-
ページ数 v.
大きさ 25 cm
ISBN 0817638164
0817640134
3764336897
3764338164
3764340134
0817636897
ISSN 10687122
NCID BA20355501
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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