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