Synopsis
The Lie Group Structure of Diffeomorphism Groups and Invertible Fourier Integral Operators with Applications.- On Landau-Lifshitz Equation and Infinite Dimensional Groups.- Flat Manifolds and Infinite Dimensional Kähler Geometry.- Positive-Energy Representations of the Group of Diffeomorphisms of the Circle.- Instantons and Harmonic Maps.- A Coxeter Group Approach to Schubert Varieties.- Constructing Groups Associated to Infinite-Dimensional Lie Algebras.- Harish-Chandra Modules Over the Virasoro Algebra.- Rational Homotopy Theory of Flag Varieties Associated to Kac-Moody Groups.- The Two-Sided Cells of the Affine Weyl Group of Type Ãn.- Loop Groups, Grassmannians and KdV Equations.- An Adjoint Quotient for Certain Groups Attached to Kac-Moody Algebras.- Analytic and Algebraic Aspects of the Kadomtsev-Petviashvili Hierarchy from the Viewpoint of the Universal Grassmann Manifold.- Comments on Differential Invariants.- The Virasoro Algebra and the KP Hierarchy.
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