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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.
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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