NW: Special geometries in mathematical physics

<p>1. Study of homogeneous models in string theory and their field equations in the bosonic as well as in the fermionic sector.</p>

<p>2. Investigations of the holonomy group, curvature and parallel objects of affine connections with torsion, in particular on homogeneous reductive spaces.</p>

<p>3. Application of Kostant's connection and the Dirac operator induced by it to realization problems for representations of semisimple Lie groups; study of the spectral properties of invariant differential operators appearing in this context.</p>