Affine Deligne-Lusztig varieties

05.07.2020 -  

The preprint "Affine Deligne-Lusztig varieties and folded galleries governed by chimneys" by Elizabeth Milićević, Petra Schwer and Anne Thomas has recently been uploaded to the arXiv!

Link to the paper: arXiv:2006.16288.

Abstract:
We characterize the nonemptiness and dimension problems for an affine Deligne-Lusztig variety Xx(b) in the affine flag variety in terms of galleries that are positively folded with respect to a chimney. If the parabolic subgroup associated to the Newton point of b has rank 1, we then prove nonemptiness for a certain class of Iwahori-Weyl group elements x by explicitly constructing such galleries.

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