First Steps in Glass Theory

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This paper is an introduction to some of the main present issues in the theory of structural glasses. After recalling a few experimental facts, it gives a short account of the analogy between fragile glasses and the mean field discontinuous spin glasses. The many valley picture is presented, and a brief account of recent attempts to obtain quantitative results from first principle computations is summarised.
15 pages, 7 figures, prepared for the Proceedings of the 2000 Aspen workshop "50 years of Condensed Matter Physics"

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