In the Teichmuller theory of Riemann surfaces, besides the classical theory of quasi-conformal mappings, vari- ous approaches from differential geometry and algebraic geometry have merged in recent years. Thus the central subject of "Complex Structure" was a timely choice for the joint meetings in Katata and Kyoto in 1989. The invited participants exchanged ideas on different approaches to related topics in complex geometry and mapped out the prospects for the next few years of research.
S.A. Wolpert: The spectrum of a Riemann surface with a cusp. M. Taniguchi: The behaviour of the extremal length function on arbitrary Riemann surfaces. K. Saito: Higher Eichler integrals and vector bundles over the moduli. T. Shioda: Mordell-Weil lattices of type Eg and deformation of singularities. A. Fujiki: Hyper Kahler structure on the moduli space of flat bundles. T. Ohsawa: A strong harmonic representation theorem on complex spaces with isolated singularities. S. Zucker: Lp-cohomology and Satake compactifications. T. Miyano, J. Noguchi: Moduli spaces of harmonic and helomorphic mappings and Diophantine geometry. J. Jost, S.T. Yan: Harmonic maps and Kahler geometry. Y.T. Siu: Global nondeformability of the complex projective space.
Series: Lecture Notes in Mathematics
Number Of Pages: 126
Published: 10th July 1991
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6
Weight (kg): 0.6