This two-volume publication collects the lectures given throughout the 3 months cycle of lectures held in Northern Italy among could and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It provides a wide-ranging assessment of a few of the main energetic parts of latest study in mathematics algebraic geometry, with detailed emphasis at the geometric functions of thep-adic analytic thoughts originating in Dwork's paintings, their connection to varied contemporary cohomology theories and to modular kinds. the 2 volumes comprise either very important new study and illuminating survey articles written by means of major specialists within the box. The ebook willprovide an imperative source for all these wishing to strategy the frontiers of study in mathematics algebraic geometry.

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