Description
Motives, Polylogarithms and Hodge Theory is a twovolume 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 nstacks and their applications to nonabelian Hodge structures; and papers on the geometric applications of nonabelian Hodge theory by D. Arapura, L. Katzarkov, T. Pantev, A. Reznikov, and C. Teleman.
This volume is sold both independently and as part of a volume set.
Publications
Pub. Date 
ISBN13 
ISBN10 
Medium 
Binding 
Size, Etc. 
Status 
List Price 
2016 Sep 
9781571462909 
1571462902 
paperback 
6.14” x 9.21” 
In Print 
US$75.00 

2002 
9781571460912 
1571460918 
hardcover 
Out of Print 
US$65.00 