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The unity of mathematics : in honor of the ninetieth birthday of I. M. Gelfand / Pavel Etingof, Vladimir Retakh, I. M. Singer editors.
Math/Physics/Astronomy Library QA7 .U55 2006
Available
- Format:
- Book
- Series:
- Progress in mathematics (Boston, Mass.) ; v. 244.
- Progress in mathematics ; v. 244
- Language:
- English
- Subjects (All):
- Mathematics.
- Gelʹfand, I. M. (Izrailʹ Moiseevich).
- Gelʹfand, I. M.
- Genre:
- Festschriften.
- Physical Description:
- xxii, 631 pages : illustrations ; 25 cm.
- Place of Publication:
- Boston : Birkhäuser, [2006]
- Summary:
- 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 between the fields of geometry, physics, and representation theory. Written by distinguished mathematicians, the text is divided as follows: several articles are devoted to developments at the intersection of geometry and physics, while others treat the interaction of representation theory, Poisson- and algebraic geometry. Topics include conformal field theory, K-theory, noncommutative geometry, gauge theory, representations of infinite-dimensional Lie algebras, Gelfand-Kirillov theory, 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.
- Contents:
- Conference Program: An International Conference on "The Unity of Mathematics" ix
- Talk Given at the Dinner at Royal East Restaurant on September 3, 2003 / Israel M. Gelfand xiii
- Mathematics as an Adequate Language / Israel M. Gelfand xv
- The Interaction between Geometry and Physics / Michael Atiyah 1
- Uhlenbeck Spaces via Affine Lie Algebras / Alexander Braverman, Michael Finkelberg, Dennis Gaitsgory 17
- New Questions Related to the Topological Degree / Haim Brezis 137
- Quantum Cobordisms and Formal Group Laws / Tom Coates, Alexander Givental 155
- On the Foundations of Noncommutative Geometry / A. Connes 173
- Stable Distributions Supported on the Nilpotent Cone for the Group G[subscript 2] / Stephen DeBacker, David Kazhdan 205
- Infinite-Dimensional Vector Bundles in Algebraic Geometry: An Introduction / Vladimir Drinfeld 263
- Algebraic Lessons from the Theory of Quantum Integrable Models / L. D. Faddeev 305
- Affine Structures and Non-Archimedean Analytic Spaces / Maxim Kontsevich, Yan Soibelman 321
- Gelfand-Zeitlin Theory from the Perspective of Classical Mechanics. II / Bertram Kostant, Nolan Wallach 387
- Mirror Symmetry and Localizations / Chien-Hao Liu, Kefeng Liu, Shing-Tung Yau 421
- Character Sheaves and Generalizations / G. Lusztig 443
- Symplectomorphism Groups and Quantum Cohomology / Dusa McDuff 457
- Algebraic Structure of Yang-Mills Theory / M. Movshev, A. Schwarz 473
- Seiberg-Witten Theory and Random Partitions / Nikita A. Nekrasov, Andrei Okounkov 525
- Quantum Calabi-Yau and Classical Crystals / Andrei Okounkov, Nikolai Reshetikhin, Cumrun Vafa 597
- Gelfand-Tsetlin Algebras, Expectations, Inverse Limits, Fourier Analysis / A. M. Vershik 619.
- Notes:
- Includes bibliographical references.
- ISBN:
- 0817640762
- OCLC:
- 62459856
- Publisher Number:
- 9780817640767
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