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Mathematics > Algebraic Geometry

arXiv:1807.02158 (math)
[Submitted on 5 Jul 2018 (v1), last revised 10 Jul 2018 (this version, v2)]

Title:Some results on affine Deligne-Lusztig varieties

Authors:Xuhua He
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Abstract:The study of affine Deligne-Lusztig varieties originally arose from arithmetic geometry, but many problems on affine Deligne-Lusztig varieties are purely Lie-theoretic in nature. This survey deals with recent progress on several important problems on affine Deligne-Lusztig varieties. The emphasis is on the Lie-theoretic aspect, while some connections and applications to arithmetic geometry will also be mentioned.
Comments: 2018 ICM report, reference updated
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT); Representation Theory (math.RT)
MSC classes: 14L05, 20G25
Cite as: arXiv:1807.02158 [math.AG]
  (or arXiv:1807.02158v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.02158

Submission history

From: Xuhua He [view email]
[v1] Thu, 5 Jul 2018 19:24:54 UTC (21 KB)
[v2] Tue, 10 Jul 2018 14:20:32 UTC (21 KB)
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