The Arithmetic and Geometry of Algebraic Cycles

Abstract

Preface. Conference Programme. Conference Picture. List of participants. Authors' addresses. Cohomological Methods. Lectures on algebro-geometric Chern-Weil and Cheeger-Chern-Simons theory for vector brundles Bloch, et al. Deligne cohomology and the geometric (co-)bar constructions P. Gajer. Kuga-Satake varieties and the Hodge conjecture B. van Geemen.Hodge and Weil classes on abelian varieties K.V. Murty. Bloch-Kato conjecture and motivic cohomology with finite coefficients A. Suslin, V. Voevodsky. Chow Groups and Motives. Indecomposable higher Chow cycles B.B. Gordon, J.D. Lewis. Equivalence relations on algebraic cycles U. Jannsen. Letter to Dick Gross on higher Abel-Jacobi maps U. Jannsen. Finiteness of torsion in the codimension-two Chow group: An Axiomatic Approach A. Langer. Algebraic cycle complexes Basic Properties S. Muller-Stach. Algebraic cycles on abelian varieties Application of abstract Fourier theory J.P. Murre. Motives and filtrations on Chow groups, II S. Saito. Zero cycles on singular varietis V. Srinivas. Arithmetic Methods. Prepotentials of Yukawa couplings of certain Calabi-Yau 3-folds and mirror symmetry M. Saito. Weight-monodromy conjecture for l-adic representations associated to modular forms: A supplement to the paper 'IO' T. Saito. Cohomology computations related to the l-adic Abel-Jacobi map module l C. Schoen. Integral elements in K-theory and products of modular curves A.J. Scholl. Appendix to Scholl's article: A counterexample to a conjecture of Beilinson R. de Jeu. Reduction of abelian varieties A. Silverberg, Y. Zahrin. The arithmetic of certain Calabi-You varieties over number fields N. Yui. Classical and elliptic polylogarithms and special values of L-series D. Zagier, H.Gangl.