Models for infinity-categories
Several approaches will be studied for the foundations of higher category theory, including quasicategories, topological categories, simplicial categories, complete Segal spaces, Segal categories, A∞-categories, and weak ω-categories. The corresponding model for ∞-groupoids and Grothendieck's homotopy hypothesis will be discussed in each context.
- Javier J. Gutiérrez (UB):
Homotopy coherent nerve of topological categories
18 October 2021, 12:00, IMUB
- David Martínez (UB):
Grothendieck's homotopy hypothesis
25 October 2021, 12:00, IMUB
- Carles Casacuberta (UB):
Complete Segal spaces and simplicial presheaves over Theta
8 November 2021, 12:00, IMUB
- Carles Casacuberta (UB):
Globular theories
15 November 2021, 12:00, IMUB
- Bashar Saleh (UB):
Globular operads and weak ω-categories
22 November 2021, 12:00, IMUB
- David Martínez (UB):
Infinity-groupoids associated with Martin-Löf types
29 November 2021, 12:00, IMUB
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