Universität Wien
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260033 VU Introduction to applied category theory (2025S)

10.00 ECTS (6.00 SWS), SPL 26 - Physik
Continuous assessment of course work
We 05.03. 10:30-12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

max. 15 participants
Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 06.03. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 07.03. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Thursday 13.03. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 14.03. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Wednesday 19.03. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Thursday 20.03. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 21.03. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Wednesday 26.03. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Thursday 27.03. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 28.03. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Wednesday 02.04. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Thursday 03.04. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 04.04. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Wednesday 09.04. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Thursday 10.04. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 11.04. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Wednesday 30.04. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 02.05. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Wednesday 07.05. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Thursday 08.05. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 09.05. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Wednesday 14.05. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Thursday 15.05. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 16.05. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Wednesday 21.05. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Thursday 22.05. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 23.05. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Wednesday 28.05. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 30.05. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Wednesday 04.06. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Thursday 05.06. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 06.06. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Wednesday 11.06. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Thursday 12.06. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 13.06. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Wednesday 18.06. 10:30 - 12:00 Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Friday 20.06. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien

Information

Aims, contents and method of the course

This course is an introduction to category theory, a theory of structures and powerful organising principles with many applications. We start with an extended discussion of the basic definitions and properties of categories and functors, with many illustrating and motivating examples from various areas of physics and mathematics. In later parts of the course we will introduce and study adjunctions, representability theorem, limits and colimits, Kan extensions, as well as other universal constructions. Again, the general theory will be accompanied by many examples in theoretical physics, topology and algebra. At least two thirds of the course will be lectures, the rest exercises classes.

Prerequisites: Familiarity with linear algebra, and a fondness for algebraic structures and conceptual aspects, nothing else. Physicists and mathematicians are equally welcome to participate.

Assessment and permitted materials

Questions and comments during and after the lectures are encouraged, regular attendance is strongly recommended. To get credits for this course, students will be asked to work out one of the exercises in written form, to present a solution of another exercise in class, and to participate in one written test at the end of the term. We will clearly formulate guidelines on how to present solutions in written and spoken form, and the lecturer will be available for consultations when solving the exercises.

Minimum requirements and assessment criteria

To formally pass this course, one exercise solution must be made available in written form, a solution to another exercise must be presented in class, and at least 40% of the maximal score in the written test must be obtained. The written test and the exercise solutions will equally contribute to the final grade.

Examination topics

content of lecture course and exercises classes

Reading list

Tom Leinster: "Basic Category Theory"
Emily Riehl: "Category theory in context"
Martin Brandenburg: "Einführung in die Kategorientheorie"

Association in the course directory

M-VAF A 2, M-VAF B, MALV

Last modified: Tu 28.01.2025 14:06