Contents

pp v-vii

List of participants

pp viii-x

Preface

pp xi-xviii

Acknowledgements

pp xix-xx

Part I - Introductory material

pp 1-2

1 - Chow varieties, the Euler–Chow series and the total coordinate ring

pp 3-43

2 - Introduction to Lawson homology

pp 44-72

Part II - Lawson (co)homology

pp 73-74

3 - Topological properties of the algebraic cycles functor

pp 75-120

Part III - Motives and motivic cohomology

pp 121-122

4 - Lectures on motives

pp 123-170

5 - A short introduction to higher Chow groups

pp 171-196

Part IV - Hodge theoretic invariants of cycles

pp 197-198

6 - Three lectures on the Hodge conjecture

pp 199-234

7 - Lectures on Nori's connectivity theorem

pp 235-275

8 - Beilinson's Hodge and Tate conjectures

pp 276-290