English

Some results on affine Deligne-Lusztig varieties

Algebraic Geometry 2018-07-11 v2 Number Theory Representation Theory

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.

Keywords

Cite

@article{arxiv.1807.02158,
  title  = {Some results on affine Deligne-Lusztig varieties},
  author = {Xuhua He},
  journal= {arXiv preprint arXiv:1807.02158},
  year   = {2018}
}

Comments

2018 ICM report, reference updated