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Motives (Proceedings of Symposia in Pure Mathematics, Vol 55)

Posted on 2010-03-16




Name:Motives (Proceedings of Symposia in Pure Mathematics, Vol 55)
ASIN/ISBN:0821816357
Language:English
File size:27.6 Mb
Publisher: Amer Mathematical Society
Pages: 747
Publish Date: 1994
ISBN: 0821816357
File Size: 27,6 mb
Other Info: DJVU
   Motives (Proceedings of Symposia in Pure Mathematics, Vol 55)

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Motives were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, to play the role of the missing rational cohomology, and to provide a blueprint for proving Weil's conjectures abou the zeta function of a variety over a finite field. Over the last ten years or so, researchers in various areas - Hodge theory, algebraic K -theory, polylogarithms, automorphic forms, L -functions, trigonometric sums, and algebraic cycles - have discovered that an enlarged (and in part conjectural) theory of "mixed" motives indicates and explains phenomena appearing in each area.

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