Transcendental Aspects of Algebraic Cycles

Abstract

Part I. Introductory Material: 1. Chow varieties, the Euler-Chow series and the total coordinate ring J. Elizondo 2. Introduction to Lawson homology C. Peters and S. Kosarew Part II. Lawson (Co)homology: 3. Topological properties of the algebraic cycles functor P. Lima-Filho Part III. Motives and Motivic Cohomology: 4. Lectures on motives J. P. Murre 5. A short introduction to higher Chow groups P. Elbaz-Vincent Part IV. Hodge Theoretic Invariants of Cycles: 6. Three lectures on the Hodge conjecture J. D. Lewis 7. Lectures on Nori's connectivity theorem J. Nagel 8. Beilinson's Hodge and Tate conjectures S. Saito.