Synopses & Reviews
Topics range from introductory lectures on algebraic cycles to more advanced material in this collection of lecture notes from the Proceedings of the Grenoble Summer School, 2001. The advanced lectures are grouped under three headings: Lawson (co)homology, motives and motivic cohomology and Hodge theoretic invariants of cycles. As the lectures were intended for non-specialists, many examples have been included.
Synopsis:
Topics range from introductory lectures on algebraic cycles to more advanced material in this collection of lecture notes from the Proceedings of the Grenoble Summer School, 2001. The advanced lectures are grouped under three headings: Lawson (co)homology, motives and motivic cohomology and Hodge theoretic invariants of cycles. As the lectures were intended for non-specialists, many examples have been included.
Synopsis:
This is a collection of lecture notes from the Summer School 'Cycles Algébriques; Aspects Transcendents, Grenoble 2001'. The topics range from introductory lectures on algebraic cycles to more advanced material. The advanced lectures are grouped under three headings: Lawson (co)homology, motives and motivic cohomology and Hodge theoretic invariants of cycles. As the lectures were intended for non-specialists many examples have been included to illustrate the theory. As such this book will be ideal for graduate students or researchers seeking a modern introduction to the state-of-the-art theory in this subject.
Synopsis:
Lecture notes for graduates or researchers wishing to enter this modern field of research.
Table of Contents
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.
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