Seminar: Noncommutative Geometry (PS-Geometry)5 ECTS
(englische Bezeichnung: Seminar: Noncommutative Geometry)
(Prüfungsordnungsmodul: Noncommutative Geometry)

Lectures:

• • Physics seminar Noncommutative Geometry
    (Seminar, 2 SWS, Anwesenheitspflicht, Hanno Sahlmann, Fri, 10:00 - 12:00, Zoom-Meeting; Place and time subject to change, upon agreement of the participants.)

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.

Lernziele und Kompetenzen:

Students

• comprehend an interesting physical topic in a short time frame

• identify and interpret the appropriate literature

• select and organize the relevant information for the presentation

• compose a presentation on the topic at the appropriate level for the audience

• use the appropriate presentation techniques and tools

• criticize and defend the topic in a scientific discussion

Literatur:

Will be provided individually for each talk.

Organisatorisches:

Für diese Lehrveranstaltung ist eine Anmeldung erforderlich. Die Anmeldung erfolgt über: persönlich beim Dozenten

Studien-/Prüfungsleistungen:

Noncommutative Geometry (Prüfungsnummer: 71891)

Prüfungsleistung, mündliche Prüfung, Dauer (in Minuten): 45, benotet, 5 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

Erstablegung: WS 2020/2021, 1. Wdh.: SS 2021 (nur für Wiederholer)

1. Prüfer:

Hanno Sahlmann