100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Victor Antonio Torres Castillo

A stable version of the Martino-Priddy conjecture.
Vendredi, 21 Octobre, 2022 - 10:30 à 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
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