Reading group / Groupe de travail
Lawson homology
Institut Camille Jordan, July 2-6, 2018.
Room: Salle Séminaire 1.
Schedule
| |
M |
T |
W |
T |
F |
| 10:00-12:00 |
1 |
3 |
6 |
7 |
10 |
| 14:00-15:30 |
2 |
4 |
|
8 |
11 |
| 15:45-17:15 |
|
5 |
|
9 |
|
Program
- Talk 1. Andrea Cattaneo. Chow varieties.
Chapter 1 of [K].
- Talk 2. Lie Fu. Topological preparations.
[P].
- Talk 3. Lie Fu. Definition of Lawson homology. First properties and examples.
[P].
- Talk 4. Andrea Cattaneo. Suspension theorem.
[L-Annals], [F].
- Talk 5. Zhiyu Tian. Fundamental properties: I.
[L] Chapter IV, 1-6.
- Talk 6. Frédéric Déglise. Semi-topological K-theory and morphic cohomology.
[L] Chapter V, [FHW]
- Talk 7. Lie Fu. Fundamental properties: II.
[L] Chapter IV, 7-9.
- Talk 8. Frédéric Déglise. Motivic perspective, Suslin conjecture.
- Talk 9. Zhiyuan Li. Birational properties.
[H], [N].
- Talk 10. Zhiyu Tian.Filtrations on homology.
[FM], [F-Filtration].
- Talk 11. Questions and discussions.
References:
[K] Kollar: Rational curves on algebraic varieties.
[H] Hu: Birational invariants defined by Lawson homology.
[N] Nie: Blow up formulas and smooth birational invariants.
[L] Lawson: Spaces of algebraic cycles.
[L-Annals] Lawson:Algebraic cycles and homotopy theory.
[F] Friedlander: Algebraic cycles, Chow varieties, and Lawson homology.
[FHW] Friedlander Haesemeyer Walker_Techniques, computations and conjectures for semi-top K.
[FM] Frielander Mazur: Filtrations on the Homology of Algebraic Varieties
[F-Filtration] Frielander Mazur: Friedlander_Filtrations on algebraic cycles and homology.
[P] Peters: Introduction to Lawson homology
If you are interested, please contact Lie Fu.
This reading group is supported by the "project de recherche inter-laboratoire" financed by Fédération de Recherche en Mathématiques Rhône-Alpes/Auvergne, and by Labex Milyon.