| Content | Time and Place | Online Platforms | Material | Tentative Plan | Mock Exam |
Category Theory (WiSe 2026/27)
Lecture 2 hours, Xu; exercises 2 hours, Guerdi, Maio, Xu.
A large part of the exercises will be selected from the book Category Theory by Awodey.
Content
The lecture is a first introduction to category theory, following the book Category Theory by Awodey. This is a mathematics textbook but it is very self-contained. Familiarity to algebraic structures will be helpful, but is not a requirement, in order to follow this course.
Time and Place
TBA
Online Platforms
Announcements will be published via Moodle.
Zulip Stream #TCS-26W27-CT
Material
The lecture follows the book
- Steve Awodey: Category Theory, 2nd Ed., Oxford University Press, 2006
Hand-written notes will be made available during the course of the semester.
This is the first time that this course is offered at the LMU, so there is no previous exam. A mock exam is available to help you practice. See Mock Exam below.
Additional resources:
Tom Leinster, Basic Category Theory, Cambridge University Press, 2014
Emily Riehl, Category Theory in Context, Dover Publications Inc., 2016
Bartosz Milewski, Category Theory for Programmers, 2023
Tentative Plan
| Termin | Inhalte |
|---|---|
| 12.10. | Book Chapter 1, Categories |
| 19.10. | Book Chapter 2, Abstract structures |
| 26.10. | Book Chapter 3, Duality |
| 02.11. | Book Chapter 4, Groups and categories |
| 09.11. | Book Chapter 5, Limits and colimits |
| 16.11. | Book Chapter 5, Limits and colimits |
| 23.11. | Book Chapter 6, Exponentials |
| 30.11. | Book Chapter 7, Naturality |
| 07.12. | Book Chapter 8, Categories of diagrams |
| 14.12. | Book Chapter 8, Categories of diagrams |
| 21.12. | Book Chapter 9, Adjoints |
| winter break | |
| 11.01. | Book Chapter 9, Adjoints |
| 18.01. | Book Chapter 10, Monads and algebras |
| 25.01. | Book Chapter 10, Monads and algebras |
| 01.02. | TBA |
