Program of courses in weeks I and II
|
| I | Basics: Cycles, Chow groups, equivalence
relations. Chow motives, numerical motives, Grothendieck's Chern
classes and cycle classes, Grothendieck-Riemann-Roch.
|
| Lectures by Jacob Murre. |
|
| II | a. Hodge conjecture/Abel-Jacobi map.
Lectures by Herb Clemens. |
b. Tate conjecture.
Lectures by Kumar Murty. |
|
| III | Cycles and topology after Lawson. |
| Lectures by Paulo Lima-Filho. |
|
| IV | Nori's construction of motives. |
| Lectures by Prakash Belkale. |
|
| V | Computations of Chow groups in ``explicit´´
examples. |
| Lectures by Kapil Paranjape. |
|
| VI | Cycles and commutative
algebra. |
| Lectures by Paul Roberts. |
|
| VII | a. Voevodsky's derived category of
motives. |
Lectures by Chuck Weibel. |
| b. K-theory and motives. |
| Lectures by Marc Levine.
|
|
| VIII |
Regulators and algebraic K-theory in the arithmetic
context. |
| Lectures by Rob de Jeu. |
|
| IX | Regulators and algebraic K-theory and
higher Chow cycles. |
| a. Stefan Müller-Stach |
| b. Lectures by Matt Kerr |
|
| X | Zero-cycles on varieties over finite and p-adic fields . |
| Lectures by Jean-Louis Colliot-Thélène. |
|
| XI | Arakelov theory. |
| Lectures by Henri Gillet. |
|
| XII | Cycle maps and (arithmetical)
variation of Hodge structures. |
| Lectures by Shuji Saito. |
|
| XIII | Discussion: how to improve North/South America collaborations.. |
| |
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