MOTIVES

ISBN-13: 9780821827994 / Angielski / Miękka / 1994 / 1423 str.

Opis

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 about the zeta function of a variety over a finite field. Since 1990 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. Thus the theory holds the potential of enriching and unifying these areas. These volumes contain the revised texts of nearly all the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle in 1991. A number of related works are also included, making for a total of 47 papers, from general introductions to specialized surveys to research papers.