## Motives, Polylogarithms and Hodge Theory, Parts I & IIPublished: 1 September 2016 Publisher: International Press of Boston, Inc. Paperback 784 pages 2016 softcover re-issue of the original 2002 publication. List Price: $75.00 |

## Description

*Motives, Polylogarithms and Hodge Theory* is a two-volume collection of works exploring motivic cohomology and motivic homotopy theory, the periods of modular forms, and the variational aspects of Hodge theory.

Topics include: outstanding open questions in the stable homotopy theory of motives (V. Voevodsky); motivic cohomology, Galois cohomology, and algebraic differential characters (A. Beilinson, S. Bloch, F. Bogomolov, H. Esnault, and Y. Tschinkel); traces of the values of modular functions at quadratic irrationalities (D. Zagier); and theory of classical and elliptic polylogarithms (A. Goncharov and A. Levin). Also presented are papers by J. Wildeshaus and by Z. Wojkowiak, describing the recent progress towards a proof of various versions of Zagier's conjecture; a foundational paper by C. Simpson on geometric *n*-stacks and their applications to non-abelian Hodge structures; and papers on the geometric applications of non-abelian Hodge theory by D. Arapura, L. Katzarkov, T. Pantev, A. Reznikov, and C. Teleman.

## This is a set comprising the following volumes, which may be purchased independently:

## Publications

Pub. Date |
ISBN-13 |
ISBN-10 |
Medium |
Binding |
Size, Etc. |
Status |
List Price |

2016 Sep |
9781571463289 |
1571463283 |
paperback |
6.14” x 9.21” |
In Print |
US$75.00 |