A stable version of the Martino-Priddy conjecture.
Friday, 21 October, 2022 - 10:30 to 11:30
Résumé :
The Martino-Priddy conjecture says that the p-fusion of G can be recovered (up to isomorphism) from the unstable homotopy type of BG^p. The same authors approached the stable analogue of that result, making strong use of the Segal conjecture (proved by Carlsson), which describes the homotopy classes of stable maps between BG^p and BH^p in terms of (G,H)-bisets.In this talk, I will introduce the notion of biset functors for fusion systems over finite p-groups and present some progress towards a generalization (possibly, also a correction) of the so-called stable Martino-Priddy conjecture.
Thème de recherche :
Topologie
Salle :
4