Geometry and Analysis: Papers presented at the Bombay Colloquium 1992 (Tata Institute of Fundamental Research, Bombay// Studies in Mathematics)

"This volume consists of a collection of articles based on lectures delivered in an International Colloquium held at the Tata Institute of Fundamental Research, Bombay in January 1992. Prof. M. S. Narasimhan and Prof. C. S. Seshadri turned sixty about that time and in view of the crucial role they played in the evolution of the School of Mathematics of the Tata Institute as one of the major centres of mathematical activity in the world, the occasion was used to felicitate them and to focus on questions close to their interests. Experts from all over the world spoke at the conference on different aspects of geometry and analysis."--BOOK JACKET Fundamental Group of the Affine Line in Positive Characteristic......Page 9 Impact of geometry of the boundary on the positive solutions of a semilinear Neumann problem with Critical nonlinearity......Page 40 Sur la cohomologie de certains espaces de modules de fibrés vectoriels......Page 52 Some quantum analogues of solvable Lie groups......Page 57 Compact complex manifolds whose tangent bundles satisfy numerical effectivity properties......Page 85 Algebraic Representations of Reductive Groups over Local Fields......Page 109 Poncelet Polygons and the Painlevé Equations......Page 185 Scalar conservation laws with boundary condition......Page 226 Bases for Quantum Demazure modules-I......Page 238 An Appendix to Bases for Quantum Demazure modules-I......Page 265 Moduli Spaces of Abelian Surfaces with Isogeny......Page 270 Instantons and Parabolic Sheaves......Page 292 Numerically Effective line bundles which are not ample......Page 319 Moduli of logarithmic connections......Page 323 The Borel-Weil theorem and the Feynman path integral......Page 325 Geometric Super-rigidity......Page 352

This volume consists of articles based on lectures delivered at an International Colloquium held at the Tata Institute of Fundamental Research, Bombay. Experts from all over the world spoke at the Conference on different aspects of geometry and analysis. Topics include: impact of geometry on the boundary solutions of a semilinear Neumann problem with critical nonlinearity; algebraic representations of reductive groups over local fields; scalar conservation laws with boundary condition; and the Borel-Weil theorem and the Feynman path integral.

The volume consists of articles based on lectures delivered to an International Colloquium held at the Tata Institute of Fundamental Research, Bombay, on different aspects of geometry and analysis.