The Arithmetic and Geometry of Algebraic Cycles

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. Müller-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.