# Seminar Talks and Notes

# Seminar Talks

These are notes of some seminar talks that I gave during my undergraduate studies in mathematics at Göttingen and Karlsruhe:

- Modular tensor categories (TQFT seminar, 2010)
- The geometric group of the Baum-Connes conjecture for discrete groups (Privatseminar Baum-Connes conjecture, 2009)
- Stiefel-Whitney classes (Seminar Charakteristische Klassen, 2009)
- Relative Homologie (Seminar Homologische Algebra, 2008)
- Gaußabschätzungen für Wärmeleitungskerne (Seminar Operatoren in Divergenzform, 2008)
- Heisenberg’s inequality (Fourier analysis and differential operators seminar, 2008)
- Pontryagin-Dualität (Seminar Topologische Gruppen, 2008)
- Helmholtz projection and Stokes operator on arbitrary domains (Navier-Stokes equation seminar, 2007)
- Irreduzible Darstellungen (Seminar Lie-Algebren, 2007)
- Mittelwertform (Proseminar Intervallrechnung, 2006)

# WiKo Talks on Lie Theory

I gave the following talks as part of a course on Lie theory organized by the German National Academic Foundation:

- Der Satz von Ado (abstract)
- Darstellungen kompakter Gruppen (Teil 2)
- Hilbert-Schmidt and trace class operators
- Homotopy groups of operator groups

# Misc. Notes

Here are assorted notes taken mostly during my undergraduate studies:

- Representation Theory of the Symmetric Group (following Fulton, “Young Tableaux”)
- A motivation of the definition of chain homotopies
- Survey of Spin^c structure (outdated; see my diploma thesis instead)
- The Dirac delta is not in L^p
- A short remark on convergence in stochastics
- Derivation of the Navier-Stokes equation (seminar talk by PD Kunstmann at Karlsruhe)
- Theoretical Mechanics (based on a lecture course of Prof. Nierste at Karlsruhe)