Introduction to ∞-categories
Recently, the theory of (∞,1)-categories has become a universal language for the homotopy approach to any area of mathematics. One of the most convenient models of this theory is the theory of quasi-categories. The course will be devoted to an elementary introduction to this theory, mainly based on the book "Introduction to Infinity-categories" by Markus Land.
Lecturer
Date
10th September ~ 13th December, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday,Friday | 15:20 - 16:55 | A3-3-201 | ZOOM 12 | 815 762 8413 | BIMSA |
Prerequisite
Category theory, simplicial homotopy theory.
Reference
[1] Land, Markus. Introduction to Infinity-categories. Springer Nature, 2021.
[2] Rezk, Charles. "Introduction to quasicategories." Lecture Notes for course at University of Illinois at Urbana-Champaign (2022).
[3] Joyal, André. "Notes on quasi-categories." preprint (2008).
[4] Lurie, Jacob. Higher topos theory. Princeton University Press, 2009.
[2] Rezk, Charles. "Introduction to quasicategories." Lecture Notes for course at University of Illinois at Urbana-Champaign (2022).
[3] Joyal, André. "Notes on quasi-categories." preprint (2008).
[4] Lurie, Jacob. Higher topos theory. Princeton University Press, 2009.
Audience
Advanced Undergraduate
, Graduate
, Postdoc
Video Public
Yes
Notes Public
No
Language
English
Lecturer Intro
Prof. Sergei Ivanov is a mathematician from St. Petersburg, Russia. His research interests include homological algebra, algebraic topology, group theory, simplicial homotopy theory, simplicial groups.