Évènement du mercredi 12 février
Séminaire des doctorants du 12 févrierArij Benkhadra (LMPA, Calais)
Informations : 14:00 - 15:00 Amphi Mahammad, Batiment poincaré
Titre : Introduction à la théorie des catégories enrichies
The theory of categories was first set, in 1945, by S. Eilenberg and S. MacLane as " a technical background for the intuitive notion of naturality" providing "opportunities for the comparison of constructions in different branches of mathematics". Later, the development of this theory led to categories enriched over a monoidal/closed category by J. Bénabou(1963) and S.Eilenberg and M.Kelly (1966). But it was B. Lawvere (1973), with its deep insights and convincing examples (posets, metric spaces) that made enriched categories part of the working mathematician’s toolbox.
This presentation aims to provide a gentle introduction to the basic notions of quantaloid-enriched categories. We will discuss the main definitions and properties, always keeping in mind several examples from topology ( metric-like spaces...) and theory is gets (posets...)