An Introduction To Homotopy (Co-)Limits. A Series Of Talks

This is a concise intro to the theory of homotopy (co-)limits. Read more

1. Nerve-Realization Adjunction and The Bar Construction, November 7, 2022
2. Homotopically Final Functors and Examples of Calculations with Homotopy (Co)Limits, November 14, 2022
3. Weighted (Co)Limits, Gambino’s Theorem, Reedy Model Structures, November 21, 2022
4. Reedy Model Structures-2, November 28, 2022
5. Applications of Reedy Theory, December 2, 2022

The page of the seminar and the IUM page

References

1. Riehl, E. (2014). Categorical Homotopy Theory (New Mathematical Monographs). Cambridge: Cambridge University Press. doi:10.1017/CBO9781107261457
2. Philip Hirschhorn, Model Categories and Their Localizations, AMS Math. Survey and Monographs 99 (2002)
3. Loregian, F. (2021). (Co)end Calculus (London Mathematical Society Lecture Note Series). Cambridge: Cambridge University Press. doi:10.1017/9781108778657