These are the proceedings of the joint seminar by M.I.T. and Harvard on the current Developments in mathematics for the year 2002. Established in 1995, this seminar has been continued on the third weekend of November every year. The organizing committee for the seminar consisted of distinguished mathematicians from the mathematics departments of both institutions: Barry Mazur, Wilfried Schmid, and S.T. Yau from Harvard, and David Jerison, TomMrowka, and Richard Stanley from M.I.T. This year, the seminar was dedicated to Prof. Wilfried Schmid and Prof. George Lusztig.
The 2002 speakers included Albert Bressan, Mark Haiman, Richard Rain, Stephan Kudla, Yair Minsky, John Morgan, Leslie Saper, Kari Vilonen, and David Vogan. We trust that these proceedings will be of interest to many mathematicians, and will inspire future developments and research pursuits in mathematics.
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