Lecture Course RTG 2491 "Fourier Analysis and Spectral Theory"'
- Target audience: members of the RTG 2491, and master students who want to
acquire a broad but not too deep knowledge about the subjects of the RTG
- Lecturer: Thomas Schick
- Date: Thu, 10:15-12:00
- Place: Sitzungszimmer. Virtually via BigBlueButton, details follow.
firstname.lastname@example.org, Tel. 39-7799
- oral exam after the course
The RTG lecture shall equip the doctoral students of the RTG and all other participants with a common broad background knowledge in Fourier analysis and spectral theory. This
+will make participants familiar with the language, concepts and basic methods that occur in the research programme of the RTG Fourier Analysis and Spectral Theory.
Concretely, in SoSe 20 we will cover the following topics, which do not
require the Course of WS 19/20:
- Differential geometric and topological aspects of bundles and their
classification: cocycles, cohomology, classifying spaces.
- Operator algebras and their cohomology: a spectral introduction to K-theory.
- Spectral graph theory, covering applications of Fourier analysis in group theoretic situa-
tions, based in particular on material in Woess’ book .
If time permits, we will also discuss aspects of the Analysis and representation theory of Lie groups.
- Course notes, to be prepared.
- further suggestions to be added.