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Affine Springer Fibers and Affine Deligne-Lusztig Varieties

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Book cover Affine Flag Manifolds and Principal Bundles

Part of the book series: Trends in Mathematics ((TM))

Abstract

We give a survey on the notion of affine Grassmannian, on affine Springer fibers and the purity conjecture of Goresky, Kottwitz, and MacPherson, and on affine Deligne-Lusztig varieties and results about their dimensions in the hyperspecial and Iwahori cases.

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  1. Institut für Experimentelle Mathematik, Universität Duisburg-Essen, Ellernstr. 29, D-45326, Essen, Germany

    Ulrich Görtz

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  1. Ulrich Görtz
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  1. Institut für Mathematik, Freie Universität Berlin, Arnimallee 3, 14195, Berlin, Germany

    Alexander Schmitt

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Görtz, U. (2010). Affine Springer Fibers and Affine Deligne-Lusztig Varieties. In: Schmitt, A. (eds) Affine Flag Manifolds and Principal Bundles. Trends in Mathematics. Springer, Basel. https://doi.org/10.1007/978-3-0346-0288-4_1

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