Statistical physics of the glass phase

This paper, prepared for the proceedings of the ‘Statphys 21’ conference (Cancun, July 2001) gives an introduction to the statistical physics problems which appear in the study of structural glasses. It is a shortened and updated version of a more detailed review paper which has appeared in Mézard, (Ong, Bhatt (Eds.), More is different, Princeton University Press, Princeton, NJ, 2001).