JournalsowrVol. 6 / No. 2DOI 10.4171/owr/2009/20

Hilbert Modules and Complex Geometry

  • Ronald G. Douglas

    Texas A&M University, College Station, USA
  • Jörg Eschmeier

    Universität des Saarlandes, Saarbrücken, Germany
  • Harald Upmeier

    Philipps-Universität, Marburg, Germany
Hilbert Modules and Complex Geometry cover

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Abstract

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.