The Unity of Mathematics In Honor of the Ninetieth Birthday of I.M. Gelfand /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Etingof, Pavel (Editor), Retakh, Vladimir (Editor), Singer, I. M. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2006.
• Series: Progress in Mathematics ; 244
• Subjects: Mathematics.; Algebraic geometry.; Group theory.; K-theory.; Topological groups.; Lie groups.; Geometry.; Physics.; Mathematical Methods in Physics.; Topological Groups, Lie Groups.; Algebraic Geometry.; K-Theory.; Group Theory and Generalizations.

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 among the fields of geometry, physics, and representation theory. Written by leading mathematicians, the te...

Table of Contents:

• The Interaction between Geometry and Physics
• Uhlenbeck Spaces via Affine Lie Algebras
• New Questions Related to the Topological Degree
• Quantum Cobordisms and Formal Group Laws
• On the Foundations of Noncommutative Geometry
• Stable Distributions Supported on the Nilpotent Cone for the Group G 2
• Infinite-Dimensional Vector Bundles in Algebraic Geometry
• Algebraic Lessons from the Theory of Quantum Integrable Models
• Affine Structures and Non-Archimedean Analytic Spaces
• Gelfand-Zeitlin Theory from the Perspective of Classical Mechanics. II
• Mirror Symmetry and Localizations
• Character Sheaves and Generalizations
• Symplectomorphism Groups and Quantum Cohomology
• Algebraic Structure of Yang-Mills Theory
• Seiberg-Witten Theory and Random Partitions
• Quantum Calabi-Yau and Classical Crystals
• Gelfand-Tsetlin Algebras, Expectations, Inverse Limits, Fourier Analysis.