New Developments in Lie Theory and Their Applications

Automorphic Forms.- Analytic and Geometric Realization of Representations.- to Quantized Enveloping Algebras.- The Vanishing of Scalar Curvature, Einstein's Equation and Representation Theory.- Unitary Representations of Reductive Lie Groups and the Orbit Method.- Twistor Theory for Riemannian Manifolds.- You Can't Hear the Shape of a Manifold.- Kuznetsov Formulas.- Lefschetz Numbers and Cyclic Base Change for Purely Imaginary Extensions.- Some Zeta Functions Attached to ?\G/K.- On the Centralizer of K in the Universal Enveloping Algebra of SO(n, 1) and SU(n, 1).- On Spherical Modules.- Generalized Weil Representations for Sl(n, k), n odd, k a Finite Field.- Local Multiplicity of Intersection of Lagrangian Cycles and the Index of Holonomic Modules.