Table of Contents

Cohomological Methods: Filtrations on the cohomology of abelian varieties by S. Abdulali Building mixed Hodge structures by D. Arapura The Atiyah-Chern character yields the semiregularity map as well as the infinitesimal Abdel-Jacobi map by R.-O. Buchweitz and H. Flenner Regulators and characteristic classes of flat bundles by J. Dupont, R. Hain, and S. Zucker Height pairings asymptotics and Bott-Chern forms by B. Harris and B. Wang Logarithmic Hodge structures and classifying spaces by K. Kato and S. Usui Chow Groups and Motives: Motives and algebraic de Rham cohomology by M. Asakura Hermitian vector bundles and characteristic classes by J. I. Burgos Gil The mixed motive of a projective variety by M. Hanamura Bloch's conjecture and the $K$-theory of projective surfaces by C. Pedrini From Jacobians to one-motives: Exposition of a conjecture of Deligne by N. Ramachandran Motives, algebraic cycles and Hodge theory by S. Saito Arithmetic methods: Picard-Fuchs uniformization: Modularity of the mirror map and mirror-moonshine by C. F. Doran Hilbert modular varieties in positive characteristic by E. Z. Goren On the Neron-Severi groups of some $K$3 surfaces by Y. Goto Torsion zero-cycles and the Abel-Jacobi map over the real numbers by J. van Hamel A remark on the Griffiths groups of certain product varieties by K. Kimura $p$-adic Abel-Jacobi maps and $p$-adic heights by J. Nekovar Crystalline fundamental groups and $p$-adic Hodge theory by A. Shiho Thompson series, and the mirror maps of pencils of $K$3 surfaces by H. Verrill and N. Yui.