Graduate Student Homotopy Theory Seminar: An introduction to 2-categories
- Event Type
- Seminar/Symposium
- Sponsor
- n/a
- Location
- 341 Altgeld Hall
- Date
- Mar 25, 2022 3:00 pm
- Speaker
- Yigal Kamel
- Contact
- Doron Grossman-Naples
- doronlg2@illinois.edu
- Views
- 26
This talk will be a survey of some of the basic notions and facts about 2-categories. After introducing 2-categories and various types of functors between them, we will consider constructions that map 2-categories to more familiar objects. On one hand, viewing a 2-category as a “poor” higher category, we can “reduce” it to an ordinary category, via a homotopy construction. On the other hand, viewing a 2-category as a “rich” ordinary category, we can “uplift” it to a simplicial set, via the duskin nerve. I will talk about these and related ideas, indicate some quirks of the theory, and provide examples along the way.