U. Haifa Topology & Geometry seminar: Wednesday, Nov. 27, 2024. Speaker: Giuseppe Leoncini (Università degli Studi di Milano Statale). Title: “Universal homotopy theories in the enriched context’”.
I will put forward a possible generalization of Dugger’s theorem on universal homotopy theories, in enriched homotopy theory, following previous work of Dugger and Shipley for the case of enrichment over Abelian groups. I will discuss what can be done and the problems that arise. Moreover, I will contextualize the topic in the setting of enriched ∞-categories