Download E-books Motives (Proceedings of Symposia in Pure Mathematics, Vol 55, Parts 1 and 2) PDF

By Uwe Jannsen, Steven L. Kleiman, Jean Pierre Serre

Reasons have been brought within the mid-1960s through Grothendieck to provide an explanation for the analogies one of the quite a few cohomology theories for algebraic types, to play the position of the lacking rational cohomology, and to supply a blueprint for proving Weil's conjectures abou the zeta functionality of a range over a finite box. during the last ten years or so, researchers in numerous components - Hodge conception, algebraic ok -theory, polylogarithms, automorphic varieties, L -functions, trigonometric sums, and algebraic cycles - have chanced on that an enlarged (and partly conjectural) concept of "mixed" reasons exhibits and explains phenomena showing in each one zone. hence the idea holds the opportunity of enriching and unifying those parts. those volumes comprise the revised texts of approximately the entire lectures offered a the AMS-IMS-SIAM Joint summer time learn convention on explanations, held in Seattle in 1991. a few comparable works ae additionally integrated, making for a complete of forty-seven papers, from common introductions to really good surveys to investigate papers. This publication is meant for learn mathematicians.

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