The unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand
著者
書誌事項
The unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand
（Progress in mathematics, v. 244）
Birkhäuser, c2006
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注記
Includes bibliographical references
内容説明・目次
内容説明
Tribute to the vision and legacy of Israel Moiseevich Gel'fand
Written by leading mathematicians, these invited papers reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory
Topics include conformal field theory, K-theory, noncommutative geometry, gauge theory, representations of infinite-dimensional Lie algebras, and various aspects of the Langlands program
目次
P. Etingof, V. Retakh, and I.M. Singer (eds.): Preface Conference Program: An International Conference on 'The Unity of Mathematics' I.M. Gelfand: Talk Given at the Dinner at Royal East Restaurant on September 3, 2003 I.M. Gelfand: Mathematics as an Adequate Language ----- M. Atiyah: The Interaction between Geometry and Physics A. Braverman, M. Finkelberg, and D. Gaitsgory: Uhlenbeck Spaces via Affine Lie Algebras H. Brezis: New Questions Related to the Topological Degree T. Coates and A. Givental: Quantum Cobordisms and Formal Group Laws A. Connes: On the Foundations of Noncommutative Geometry S. Debacker and D. Kazhdan: Stable Distributions Supported on the Nilpotent Cone for the Group G2 V. Drinfeld: Infinite-Dimensional Vector Bundles in Algebraic Geometry: An Introduction L.D. Faddeev: Algebraic Lessons from the Theory of Quantum Integrable Models M. Kontsevich and Y. Soibelman: Affine Structures and Non-Archimedean Analytic Spaces B. Kostant and N. Wallach: Gelfand-Zeitlin Theory from the Perspective of Classical Mechanics II C-H. Liu, K. Liu, and S-T. Yau: Mirror Symmetry and Localizations G. Lusztig: Character Sheaves and Generalizations D. McDuff: Symplectomorphism Groups and Quantum Cohomology M. Movshev and A. Schwarz: Algebraic Structure of Yang-Mills Theory N.A. Nekrasov and A. Okounkov: Seiberg-Witten Theory and Random Partitions A.Okounkov, N. Reshetikhin, and C. Vafa: Quantum Calabi-Yau and Classical Crystals A.M. Vershik: Gelfand-Tsetlin Algebras, Expectations, Inverse Limits, Fourier Analysis
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