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Group Compactifications and Moduli Spaces

In: Analytic and Algebraic Geometry

Author

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  • Johan Martens

    (The University of Edinburgh, School of Mathematics and Maxwell Institute)

Abstract

We give a summary of joint work with Michael Thaddeus that realizes toroidal compactifcations of split reductive groups as moduli spaces of framed bundles on chains of rational curves. We include an extension of this work that covers Artin stacks with good moduli spaces. We discuss, for complex groups, the symplectic counterpart of these compactifications, and conclude with some open problems about the moduli problem concerned.

Suggested Citation

  • Johan Martens, 2017. "Group Compactifications and Moduli Spaces," Springer Books, in: Anilatmaja Aryasomayajula & Indranil Biswas & Archana S. Morye & A. J. Parameswaran (ed.), Analytic and Algebraic Geometry, pages 187-206, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-5648-2_12
    DOI: 10.1007/978-981-10-5648-2_12
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