
Proceedings of Symposia in Pure Mathematics 1994; 747 pp; softcover Volume: 55 ISBN10: 0821827979 ISBN13: 9780821827970 List Price: US$96 Member Price: US$76.80 Order Code: PSPUM/55.1.S This item is also sold as part of the following set: PSPUM/55.S  Motives were introduced in the mid1960s 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 about the zeta function of a variety over a finite field. Over the last ten years or so, researchers in various areasHodge theory, algebraic \(K\)theory, polylogarithms, automorphic forms, \(L\)functions, \(\ell\)adic representations, trigonometric sums, and algebraic cycleshave discovered that an enlarged (and in part conjectural) theory of "mixed" motives indicates and explains phenomena appearing in each area. Thus the theory holds the potential of enriching and unifying these areas. This is one of two volumes containing the revised texts of nearly all the lectures presented at the AMSIMSSIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991. A number of related works are also included, making for a total of fortyseven papers, from general introductions to specialized surveys to research papers. 


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