Prospects in Complex Geometry

Hyperkähler structure on the moduli space of flat bundles.- Hardy spaces and BMO on Riemann surfaces.- Application of a certain integral formula to complex analysis.- On inner radii of Teichmüller spaces.- On the causal structures of the silov boundaries of symmetric bounded domains.- The behavior of the extremal length function on arbitrary Riemann surface.- A strong harmonic representation theorem on complex spaces with isolated singularities.- Mordell-Weil lattices of type E8 and deformation of singularities.- The spectrum of a Riemann surface with a cusp.- Moduli spaces of harmonic and holomorphic mappings and diophantine geometry.- Global nondeformability of the complex projective space.- Some aspects of hodge theory on non-complete algebraic manifolds.- Lp-Cohomology and satake compactifications.- Harmonic maps and Kähler geometry.- Complex-analyticity of pluriharmonic maps and their constructions.- Higher eichler integrals and vector bundles over the moduli of spinned Riemann surfaces.