A Cartan decomposition for p-adic loop groups.
A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups.
Algebraic loop groups and moduli spaces of bundles
We study algebraic loop groups and affine Grassmannians in positive characteristic. The main results are normality of Schubert-varieties, the construction of line-bundles on the affine Grassmannian, and the proof that they induce line-bundles on the moduli-stack of torsors.