Universität Wien

260033 VU Introduction to applied category theory (2025S)

10.00 ECTS (6.00 SWS), SPL 26 - Physik
Prüfungsimmanente Lehrveranstaltung
Moodle

An/Abmeldung

Hinweis: Ihr Anmeldezeitpunkt innerhalb der Frist hat keine Auswirkungen auf die Platzvergabe (kein "first come, first served").

Details

max. 15 Teilnehmer*innen
Sprache: Englisch

Lehrende

Termine (iCal) - nächster Termin ist mit N markiert

Der Termin am 05.03.2025 von 10:30 - 12:00 Uhr findet im Zi 55 (Raumnummer. 3114) im 1. Stock, Boltzmanngasse 5, 1090 Wien statt.

  • Mittwoch 05.03. 10:30 - 12:00 Ort in u:find Details
  • Donnerstag 06.03. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 07.03. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Donnerstag 13.03. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 14.03. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Mittwoch 19.03. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Donnerstag 20.03. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 21.03. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Mittwoch 26.03. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Donnerstag 27.03. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 28.03. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Mittwoch 02.04. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Donnerstag 03.04. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 04.04. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Mittwoch 09.04. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Donnerstag 10.04. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 11.04. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Mittwoch 30.04. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 02.05. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Mittwoch 07.05. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Donnerstag 08.05. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 09.05. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Mittwoch 14.05. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Donnerstag 15.05. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 16.05. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Mittwoch 21.05. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Donnerstag 22.05. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 23.05. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Mittwoch 28.05. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 30.05. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Mittwoch 04.06. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Donnerstag 05.06. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 06.06. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Mittwoch 11.06. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Donnerstag 12.06. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 13.06. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien
  • Mittwoch 18.06. 10:30 - 12:00 Berta-Karlik-Seminarraum, Zi.3158, Boltzmanngasse 5, 1. Stk., 1090 Wien
  • Freitag 20.06. 10:30 - 12:00 Kurt-Gödel-Hörsaal, Boltzmanngasse 5, EG, 1090 Wien

Information

Ziele, Inhalte und Methode der Lehrveranstaltung

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.

Art der Leistungskontrolle und erlaubte Hilfsmittel

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.

Mindestanforderungen und Beurteilungsmaßstab

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.

Prüfungsstoff

content of lecture course and exercises classes

Literatur

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

Zuordnung im Vorlesungsverzeichnis

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

Letzte Änderung: Mo 01.12.2025 16:46