This two-volume publication collects the lectures given through 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 offers a wide-ranging evaluate of a few of the main energetic parts of latest learn in mathematics algebraic geometry, with distinct emphasis at the geometric functions of thep-adic analytic thoughts originating in Dwork's paintings, their connection to numerous fresh cohomology theories and to modular varieties. the 2 volumes include either vital new examine and illuminating survey articles written by way of prime specialists within the box. The publication willprovide an fundamental source for all these wishing to technique the frontiers of study in mathematics algebraic geometry.
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