About the book
Algebraic Groups and Arithmetic is an area in which major advances have been made in recent decades. The School of Mathematics of the Tata Institute of Fundamental Research has been one of the significant contributors to the progress, under the leadership of Professor M.S. Raghunathan. The Tata Institute organised a conference on the theme during 17-22 December 2001, on the occasion of Professor Raghunathan turning sixty.
The conference received enthusiastic response, and there were lectures by several experts on forefront topics in the theme, including group-theoretic aspects, diophantine approximation, modular forms, representation theory, interactions with topology and geometry, dynamics on homogeneous spaces.
This volume is a collection of papers emerging from the Conference. In addition to original papers by several leading mathematicians in the area, it also includes two expository papers on the work of Professor M.S. Raghunathan, by the late Professor Armand Borel and Professor Gopal Prasad, which had also been presented at the Conference.
On the Work of M.S. Raghunathan/ On Some Work of Raghunathan/ The Cohomology with Local Coe_cients of Compact Hyperbolic Manifolds/ Pseudo–Eisenstein Forms and Cohomology of Arithmetic Groups II/ Restriction Maps and the First Betti Number/ Combinatorics of B-orbits in a Wonderful Compactification/ A New Realization of the Cohomology of Springer Fibers/ Minimal Representations: Spherical Vectors and Automorphic Functionals/ On Langlands Functoriality – Reduction to the Semistable Case/ Algebraic Cycles on Hilbert Modular Fourfolds and Poles of L-functions/ Certain Eisenstein Series on Loop Groups: Convergence and the Constant Term/ Transformation de type Poisson relative aux groupes d’Iwahori/ Convexes Divisibles I/ The Complex-symplectic Geometry of SL(2,C)-characters over Surfaces/ Random Walks on the Space of Lattices and the Finiteness of Covolumes of Arithmetic Subgroups/ On a Problem Concerning Arithmeticity of Discrete Groups Acting on H × · · · × H/ Normal Subgroup Growth of Linear Groups: The (G2, F4,E8)-Theorem/ Real Representations of Semisimple Lie Algebras have Q-forms/ Whitehead Groups and Groups of R-equivalence Classes of Linear Algebraic Groups of Noncommutative Classical Type Over Some Virtual Fields/ Exotic Structures and Quaternionic Hyperbolic Manifolds/ Summatory Functions of Elements in Selberg’s Class/ Baker-Sprindˇzuk Conjectures for Complex Analytic Manifolds/ On Stabilizers of Continuous Actions of Lie Groups
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