Contains proceedings from activities ... during the years 19891992Pref.

Includes bibliographical references.

The orbit method. I. Geometric quantization ; The orbit method. II. Infinitedimensional Lie groups and Lie algebras ; Quantized differential forms in noncommutative topology and geometry ; Novikov's conjecture on higher signatures: the operator heory approach ; rm II_1 actors of free groups and random matrices ; A simple definition of transfer factors for unramified groups ; Models and periods for automorphic forms on rm GL_n ; The admissible dual via restriction to open compact subgroups ; Asymptotic behaviour of supercuspidal characters ; Multiplicities in the Plancherel decomposition for a semisimple symmetric space ; rm O(n) pherical functions on Heisenberg groups ; Orbits, multiplicities and differential operators ; A simple approach to _\lambda odules ; Theta series and construction of automorphic forms ; An application of infinitedimensional Lie theory to semisimple Lie groups ; On the existence of homomorphisms between scalar generalized Verma modules ; Unitary representations on the Shilov boundary of a symmetric tube domain ; Characters, fixed points and Osborne's conjecture ; The local Langlands conjecture ; Representation theory of infinitedimensional unitary groups ; ^* lgebras and applications ; Are amenable ^* lgebras classifiable ; Spectra for group actions ; Higher McKeanSinger index formulae and noncommutative geometry ; Binary shifts on the hyperfinite rm II_1 factor ; Compact quantum groups associated with toral subgroups Aleksandr Aleksandrovich Kirillov ; Aleksandr Aleksandrovich Kirillov ; Joachim Cuntz ; Gennadi Kasparov ; Dan Voiculescu ; Thomas C Hales ; Michael J Heumos ; Lawrence Morris ; Fiona Murnaghan ; Erik van den Ban and Henrik Schlichtkrull ; Chal Benson Joe Jenkins and Gail Ratcliff ; Frederic Bien ; Mogens FlenstedJensen ; JianShu Li ; Bong H Lian and Gregg J Zuckerman ; Hisayosi Matumoto ; Siddhartha Sahi ; W Schmid and K Vilonen ; David A Vogan Jr ; Robert P Boyer ; Marius Dadarlat ; George A Elliott ; Elliot C Gootman ; Victor Nistor ; Robert T Powers and Geoffrey L Price ; Marc A Rieffel