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The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on "Representation Theory of Lie Groups" from July 2002 to January 2003. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field. This invaluable volume collects the expanded lecture notes of those tutorials. The topics covered include uncertainty principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish-Chandra-Howe local character expansion, classification of the square-integrable representations modulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur-Weyl-Howe duality.

Features a collection of written versions of the talks given at the Workshop on Computational Prospects of Infinity from 18 June to 15 August 2005. This book consists of contributions from experts in recursion theory (computability theory) and set theory. It covers topics such as algorithmic randomness, reverse mathematics, forcing, and others.