Universität Wien

260081 VU Topological quantum field theory 2 (2021S)

5.00 ECTS (3.00 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

  • Mittwoch 10.03. 11:30 - 13:00 Digital
  • Mittwoch 17.03. 11:30 - 13:00 Digital
  • Freitag 19.03. 11:30 - 12:15 Digital
  • Mittwoch 24.03. 11:30 - 13:00 Digital
  • Freitag 26.03. 11:30 - 12:15 Digital
  • Mittwoch 14.04. 11:30 - 13:00 Digital
  • Freitag 16.04. 11:30 - 12:15 Digital
  • Mittwoch 21.04. 11:30 - 13:00 Digital
  • Freitag 23.04. 11:30 - 12:15 Digital
  • Mittwoch 28.04. 11:30 - 13:00 Digital
  • Freitag 30.04. 11:30 - 12:15 Digital
  • Mittwoch 05.05. 11:30 - 13:00 Digital
  • Freitag 07.05. 11:30 - 12:15 Digital
  • Mittwoch 12.05. 11:30 - 13:00 Digital
  • Freitag 14.05. 11:30 - 12:15 Digital
  • Mittwoch 19.05. 11:30 - 13:00 Digital
  • Freitag 21.05. 11:30 - 12:15 Digital
  • Mittwoch 26.05. 11:30 - 13:00 Digital
  • Freitag 28.05. 11:30 - 12:15 Digital
  • Mittwoch 02.06. 11:30 - 13:00 Digital
  • Freitag 04.06. 11:30 - 12:15 Digital
  • Mittwoch 09.06. 11:30 - 13:00 Digital
  • Freitag 11.06. 11:30 - 12:15 Digital
  • Mittwoch 16.06. 11:30 - 13:00 Digital
  • Freitag 18.06. 11:30 - 12:15 Digital
  • Mittwoch 23.06. 11:30 - 13:00 Digital
  • Freitag 25.06. 11:30 - 12:15 Digital

Information

Ziele, Inhalte und Methode der Lehrveranstaltung

This course is a continuation of the introduction to an axiomatic, functorial approach to topological quantum field theory (TQFT) of the winter term 2020/21. Familiarity with that course will be assumed, but new participants will be provided a set of written lecture notes for the previous course. (If students express interest, an optional review sessions will be offered in the beginning of March.)

The course will introduce the notions of state sum models, sigma models and Landau-Ginzburg models, explain how they are examples of closed TQFTs, and how they relate to other parts of theoretical physics and mathematics. Depending on the preferences of the audience, later parts of the course will either focus on 3-dimensional gauge theories of Chern-Simons type, and more generally Reshetikhin-Turaev models, or on the theory of TQFTs that describe boundary conditions, more general defects, and/or are extended TQFTs.

Optional discussion sessions will be offered on a regular basis, and questions and other feedback are encouraged also via other channels, including anonymously via Moodle. To facilitate exchanges among themselves during the COVID-19 pandemic, an online conference room exclusively for the students (without the lecturer present) will be set up.

Art der Leistungskontrolle und erlaubte Hilfsmittel

Questions and comments during and after the lectures are encouraged, regular attendance is recommended. To get credits for this course, students will be asked to work out one of the exercises in written form, and to participate in one written test at the end of the term. If the number of participants is not too large, students will also be asked to present their exercise to the class. 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 to class in written form, and at least 40% of the maximal score in the written test must be obtained. The written test and the exercise solution will equally contribute to the final grade.

Prüfungsstoff

Content of the lecture course and exercises.

Literatur

A detailed, annotated list of references will be provided during this course.

Zuordnung im Vorlesungsverzeichnis

M-VAF A 2, M-VAF B, M-ERG

Letzte Änderung: Fr 12.05.2023 00:21