| 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

TerminInhalte
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

Exams