This two-volume ebook collects the lectures given in the course of the 3 months cycle of lectures held in Northern Italy among may possibly and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It provides a wide-ranging evaluation of a few of the main lively parts of up to date learn in mathematics algebraic geometry, with detailed emphasis at the geometric functions of thep-adic analytic concepts originating in Dwork's paintings, their connection to numerous fresh cohomology theories and to modular varieties. the 2 volumes include either very important new examine and illuminating survey articles written by means of top specialists within the box. The booklet willprovide an crucial source for all these wishing to strategy the frontiers of analysis in mathematics algebraic geometry.

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