The major topics discussed in this workshop were Hilbert modules of analytic functions on domains in ℂ_n_, Toeplitz and Hankel operators, the interplay of commutative algebra, complex analytic geometry and multivariable operator theory, coherent and quasi-coherent sheaves as localizations of Hilbert modules, Hilbert bundles and Jordan varieties on Cartan domains.
Cite this article
Ronald G. Douglas, Jörg Eschmeier, Harald Upmeier, Hilbert Modules and Complex Geometry. Oberwolfach Rep. 6 (2009), no. 2, pp. 1047–1100DOI 10.4171/OWR/2009/20