The Unity of Mathematics: In Honor of the Ninetieth Birthday of I.M. Gelfand [1 ed.] 0817640762, 9780817640767
A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of
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English Pages 632 [646] Year 2006
Table of contents :
The Interaction between Geometry and Physics....Pages 1-15
Uhlenbeck Spaces via Affine Lie Algebras....Pages 17-135
New Questions Related to the Topological Degree....Pages 137-154
Quantum Cobordisms and Formal Group Laws....Pages 155-171
On the Foundations of Noncommutative Geometry....Pages 173-204
Stable Distributions Supported on the Nilpotent Cone for the Group G 2 ....Pages 205-262
Infinite-Dimensional Vector Bundles in Algebraic Geometry....Pages 263-304
Algebraic Lessons from the Theory of Quantum Integrable Models....Pages 305-320
Affine Structures and Non-Archimedean Analytic Spaces....Pages 321-385
Gelfand-Zeitlin Theory from the Perspective of Classical Mechanics. II....Pages 387-420
Mirror Symmetry and Localizations....Pages 421-442
Character Sheaves and Generalizations....Pages 443-455
Symplectomorphism Groups and Quantum Cohomology....Pages 457-471
Algebraic Structure of Yang-Mills Theory....Pages 473-523
Seiberg-Witten Theory and Random Partitions....Pages 525-596
Quantum Calabi-Yau and Classical Crystals....Pages 597-618
Gelfand-Tsetlin Algebras, Expectations, Inverse Limits, Fourier Analysis....Pages 619-631
The Interaction between Geometry and Physics....Pages 1-15
Uhlenbeck Spaces via Affine Lie Algebras....Pages 17-135
New Questions Related to the Topological Degree....Pages 137-154
Quantum Cobordisms and Formal Group Laws....Pages 155-171
On the Foundations of Noncommutative Geometry....Pages 173-204
Stable Distributions Supported on the Nilpotent Cone for the Group G 2 ....Pages 205-262
Infinite-Dimensional Vector Bundles in Algebraic Geometry....Pages 263-304
Algebraic Lessons from the Theory of Quantum Integrable Models....Pages 305-320
Affine Structures and Non-Archimedean Analytic Spaces....Pages 321-385
Gelfand-Zeitlin Theory from the Perspective of Classical Mechanics. II....Pages 387-420
Mirror Symmetry and Localizations....Pages 421-442
Character Sheaves and Generalizations....Pages 443-455
Symplectomorphism Groups and Quantum Cohomology....Pages 457-471
Algebraic Structure of Yang-Mills Theory....Pages 473-523
Seiberg-Witten Theory and Random Partitions....Pages 525-596
Quantum Calabi-Yau and Classical Crystals....Pages 597-618
Gelfand-Tsetlin Algebras, Expectations, Inverse Limits, Fourier Analysis....Pages 619-631
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