### 29 november, Thomas Guhr (Matematisk fysik, LTH, Lunds universitet):
Random Matrices in Physics and Supersymmetric Methods

**Abstract.**
Random Matrices are powerful tools in many different
areas of modern physics, ranging from nuclei, atoms
and molecules over chaotic and disordered mesoscopic
systems to quantum chromodynamics (theory of the
strong interaction). By presenting a few examples,
the usefulness of Random Matrices is explained.
Moreover, it is shown why supersymmetric methods are
nowadays so important in Random Matrix Theory. There
is a natural extension of harmonic analysis on symmetric
ordinary spaces to symmetric superspaces, connecting to
the work of Harish-Chandra and Gelfand. Some group theoretical
aspects are discussed. Finally, it is demonstrated that
the supersymmetric approach also yields a natural extension
of Calogero-Sutherland models for interacting particles.