vendredi 1 et
samedi 2 avril
2005
Stable homotopy
&
Functor homology
Conférenciers:
| S. Schwede (Bonn) | T. Pirashvili (Tbilissi) | |
| Symmetric spectra and stable homotopical algebra | Functor homology and homology of structured ring spectra | |
| In these lectures I will try to explain some developments during the last decade which reshaped the foundations of multiplicative structures in stable homotopy theory. After motivating the stable homotopy category, I will introduce the category of symmetric spectra along with its nice smash product pairing. This strictly associative and commutative smash product provides easy access to a homotopically flavored algebra over ring spectra, without the need to keep track of higher coherence homotopies. | The aim of these lectures is to give an introduction to topological Hochschild homology (THH) and a version of topological André-Quillen homology (TAQ) called Gamma-homology. After some algebraic preliminaries these fundamental objects will be presented. Then, algebraic models (using functor homology) computing THH and TAQ for Eilenberg-MacLane ring spectra will be presented. |
Vendredi 1er avril |
| 09h00-09h30 : accueil
des
participants (Laboratoire J.-A. Dieudonné - 1er
étage) |
| 09h30-10h45 : Stable
Homotopy I |
| 11h15-12h30 : Functor
Homology I |
| 13h00-14h00 : Repas (restaurant de l'Hotel des Impots de Nice) |
| 14h30-15h45 : Stable Homotopy II |
| 16h15-17h30: Functor Homology II |
Samedi 2 avril |
| 09h30-10h45: Stable Homotopy III |
| 11h15-12h30: Functor Homology III |