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Reading Course: Category Theory
Last Updated: 2026-06-01 11:33:48
Abstract
The students will learn the language of Category Theory.
Objective
This unit will cover the basic definitions and results in category theory. We will focus on understanding how these concepts appear in other areas of mathematics that the students have already studied. After that, we will study abelian categories and the constructions that arise from them.
Content
Categories and functors Natural transformations and the Yoneda lemma Universal properties, limits and colimits Adjoint functors The first fundamental groupoid and the Seifert van Kampen theorem Abelian categories Derived functors
Resources
Lecture Notes
Basic Category Theory - Tom Leinsterhttps://arxiv.org/pdf/1612.09375Sheaf Theory - B.R. TennisonCourse webpage:https://people.math.ethz.ch/~airibar/CT/schedule.html
Literature
Category Theory in Context - Emily Riehl Sheaves in Geometry and Logic - Saunders Mac Lane, Ieke Moerdijk Topology, A Categorical approach - Tai-Danae Bradley, Tyler Bryson, John Terilla
General Information
- Language
- English
- Levels
- BSC , MSC
Examination
- Type
- graded semester performance
Registration & Places
- Max Places
- 15
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| independent project |
Reading Course: Category Theory
Permission from lecturers required for all students.
If you are interested in participating, please contact Aitor Iribar (email
)
|
|
90 h semesterly |
Offered In
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Wahlfächer (Für das Master-Diplom in Angewandter Mathematik ist die folgende Zusatzbedingung (nicht in myStudies ersichtlich) zu beachten: Mindestens 14 KP der erforderlichen 26 KP aus Kern- und Wahlfächern müssen aus Bereichen der angewandten Mathematik und weiteren anwendungsorientierten Gebieten stammen.)
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