Infinity Cosmoi
The objective of this seminar is to present the theory of ∞-categories in a model-independent way, that is, by using a common axiomatic framework that is satisfied by a variety of models. This common framework is the theory of ∞-cosmoi, developed by Emily Riehl and Dominic Verity in the manuscript Elements of ∞-Category Theory [RV22].
- Javier J. Gutiérrez:
Introduction
10 October 2023, 10:00, IMUB
- Anna Sopena:
Quasi-categories
17 October 2023, 10:00, IMUB
[ Notes ] - Pedro Magalhães:
Enriched categories and ∞-cosmoi
24 October 2023, 10:00, IMUB
[ Notes ] - Roger Garrido:
2-Category theory and the homotopy 2-category
31 October 2023, 10:00, IMUB
[ Notes ] - Javier J. Gutiérrez:
Adjunctions and equivalences
7 November 2023, 10:00, IMUB
[ Notes ] - Thomas Mikhail:
Limits and colimits
14 November 2023, 10:00, IMUB
[ Notes ] - David Martínez Carpena:
Comma ∞-categories
21 November 2023, 10:00, IMUB
[ Notes ] - Carles Casacuberta:
Universal properties of limits and colimits
28 November 2023, 10:00, IMUB
[ Notes ] - Jeffrey Bergfalk:
Pointed and stable ∞-categories
5 December 2023, 10:00, IMUB
[ Notes ] - David Martínez Carpena:
Fibrations and Yoneda’s Lemma
12 December 2023, 10:00, IMUB
[ Notes ] - Javier J. Gutiérrez:
Model independence
19 December 2023, 10:00, IMUB
[ Notes ]
References
[JY21] Niles Johnson and Donald Yau, 2-Dimensional Categories, Oxford University Press, 2021.
[Kel05] G. M. Kelly, Basic Concepts of Enriched Category Theory, Reprints in Theory and Applications of Categories 10 (2005), 1–136.
[Lur18] Jacob Lurie, Kerodon, https://kerodon.net, 2018.
[RV22] Emily Riehl and Dominic Verity, Elements of ∞-Category Theory, Cambridge Studies in Advanced Mathematics, vol. 194, Cambridge University Press, 2022.
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