Introduction to ∞-categories II
In this course, we will continue studying the quasi-category approach to (∞,1)-categories. While we avoided using the language of model categories in the previous semester, this semester we will focus on interpreting many statements through the lens of model category theory. We will begin with an overview of model category theory. Whereas last semester was based on Marcus Land's book “Introduction to Infinity-Categories”, this semester we will turn our attention to Lurie's book “Higher Topos Theory”.
Lecturer
Date
26th February ~ 30th May, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Friday | 16:10 - 17:50 | A3-2-303 | ZOOM 01 | 928 682 9093 | BIMSA |
| Wednesday | 15:20 - 16:55 | A3-3-301 | Zoom 16 | 468 248 1222 | 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
Graduate
, Postdoc
, Researcher
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.