Seminar Talks and Notes

These are notes of some seminar talks that I gave during my undergraduate studies 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• Survey of Spin^c structure (outdated; see my diploma thesis instead)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)