Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Motives: Part 2
 
Motives
Softcover ISBN:  978-0-8218-2798-7
Product Code:  PSPUM/55.2.S
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9356-2
Product Code:  PSPUM/55.2.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Softcover ISBN:  978-0-8218-2798-7
eBook: ISBN:  978-0-8218-9356-2
Product Code:  PSPUM/55.2.S.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Motives
Click above image for expanded view
Motives: Part 2
Softcover ISBN:  978-0-8218-2798-7
Product Code:  PSPUM/55.2.S
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9356-2
Product Code:  PSPUM/55.2.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Softcover ISBN:  978-0-8218-2798-7
eBook ISBN:  978-0-8218-9356-2
Product Code:  PSPUM/55.2.S.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 551994; 676 pp
    MSC: Primary 14; Secondary 11; 19;

    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. Over the last ten years or so, researchers in various areas—Hodge theory, algebraic \(K\)-theory, polylogarithms, automorphic forms, \(L\)-functions, \(\ell\)-adic representations, 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. This is one of two volumes containing 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 forty-seven papers, from general introductions to specialized surveys to research papers.

    This item is also available as part of a set:
  • Table of Contents
     
     
    • Articles
    • Richard M. Hain — Classical polylogarithms [ MR 1265550 ]
    • A. B. Goncharov — Polylogarithms and motivic Galois groups [ MR 1265551 ]
    • A. Beĭlinson and P. Deligne — Interprétation motivique de la conjecture de Zagier reliant polylogarithmes et régulateurs [ MR 1265552 ]
    • A. Beĭlinson and A. Levin — The elliptic polylogarithm [ MR 1265553 ]
    • Ralph Greenberg — Iwasawa theory and $p$-adic deformations of motives [ MR 1265554 ]
    • Peter Schneider — $p$-adic points of motives [ MR 1265555 ]
    • A. A. Panchishkin — Admissible non-Archimedean standard zeta functions associated with Siegel modular forms [ MR 1265556 ]
    • Don Blasius — A $p$-adic property of Hodge classes on abelian varieties [ MR 1265557 ]
    • David Goss — Drinfel′d modules: cohomology and special functions [ MR 1265558 ]
    • Stephen S. Kudla — The local Langlands correspondence: the non-Archimedean case [ MR 1265559 ]
    • A. W. Knapp — Local Langlands correspondence: the Archimedean case [ MR 1265560 ]
    • Dinakar Ramakrishnan — Pure motives and automorphic forms [ MR 1265561 ]
    • J. S. Milne — Shimura varieties and motives [ MR 1265562 ]
    • Don Blasius and Jonathan D. Rogawski — Zeta functions of Shimura varieties [ MR 1265563 ]
    • Michael Harris — Hodge-de Rham structures and periods of automorphic forms [ MR 1265564 ]
    • J. Tilouine — Galois representations congruent to those coming from Shimura varieties [ MR 1265565 ]
    • Kenneth A. Ribet — Report on mod $l$ representations of $\mathrm {Gal}(\overline {\mathbf {Q}}/\mathbf {Q})$ [ MR 1265566 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 551994; 676 pp
MSC: Primary 14; Secondary 11; 19;

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. Over the last ten years or so, researchers in various areas—Hodge theory, algebraic \(K\)-theory, polylogarithms, automorphic forms, \(L\)-functions, \(\ell\)-adic representations, 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. This is one of two volumes containing 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 forty-seven papers, from general introductions to specialized surveys to research papers.

This item is also available as part of a set:
  • Articles
  • Richard M. Hain — Classical polylogarithms [ MR 1265550 ]
  • A. B. Goncharov — Polylogarithms and motivic Galois groups [ MR 1265551 ]
  • A. Beĭlinson and P. Deligne — Interprétation motivique de la conjecture de Zagier reliant polylogarithmes et régulateurs [ MR 1265552 ]
  • A. Beĭlinson and A. Levin — The elliptic polylogarithm [ MR 1265553 ]
  • Ralph Greenberg — Iwasawa theory and $p$-adic deformations of motives [ MR 1265554 ]
  • Peter Schneider — $p$-adic points of motives [ MR 1265555 ]
  • A. A. Panchishkin — Admissible non-Archimedean standard zeta functions associated with Siegel modular forms [ MR 1265556 ]
  • Don Blasius — A $p$-adic property of Hodge classes on abelian varieties [ MR 1265557 ]
  • David Goss — Drinfel′d modules: cohomology and special functions [ MR 1265558 ]
  • Stephen S. Kudla — The local Langlands correspondence: the non-Archimedean case [ MR 1265559 ]
  • A. W. Knapp — Local Langlands correspondence: the Archimedean case [ MR 1265560 ]
  • Dinakar Ramakrishnan — Pure motives and automorphic forms [ MR 1265561 ]
  • J. S. Milne — Shimura varieties and motives [ MR 1265562 ]
  • Don Blasius and Jonathan D. Rogawski — Zeta functions of Shimura varieties [ MR 1265563 ]
  • Michael Harris — Hodge-de Rham structures and periods of automorphic forms [ MR 1265564 ]
  • J. Tilouine — Galois representations congruent to those coming from Shimura varieties [ MR 1265565 ]
  • Kenneth A. Ribet — Report on mod $l$ representations of $\mathrm {Gal}(\overline {\mathbf {Q}}/\mathbf {Q})$ [ MR 1265566 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.