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Teaching

Winter Term 2020/21

Physics seminar Noncommutative Geometry

Dozent/in

Angaben

Zeit und Ort:

Sign-up via StudOn: https://www.studon.fau.de/crs3225204_join.html

  • Fr 10:00-12:00 Uhr, Zoom-Meeting

Studienfächer / Studienrichtungen

  • WF Ph-BA 56789ABCDEF (ECTS-Credits: 5)
  • WF Ph-MA 123456789ABCDEF (ECTS-Credits: 5)

Voraussetzungen / Organisatorisches

Language is German or English for BSc students, and English for MSc students.

Due to COVID regulations, we will be working online, at least initially.

First meeting with distribution of talks: Friday 06.11. 10:00

Inhalt

The seminar will serve as an introduction to noncommutative geometry. Topics covered include:


*Commutative geometry*


- Topological spaces, C**-algebras, Gelfand duality
- Riemannian geometry
- Clifford algebra, Spinors and the Dirac equation
- Connes duality



*Noncommutative geometry*


- Finite noncommutative spaces
- non-commutative Riemannian spin manifolds
- gauge theory from noncommutative geometry
- towards the standard model from noncommutative geometry



We will use mostly textbooks and lecture notes as a basis for the preparation of the talks.