4 citations · 8 across the 5 of their papers we have counts for
5 papers · 1 filter
The Drinfeld stratification for
Charlotte Chan, Alexander B. Ivanov
We define a stratification of Deligne--Lusztig varieties and their parahoric analogues which we call the Drinfeld stratification. In the setting of inner forms of GLn, we study the…
Affine Deligne-Lusztig varieties at infinite level
Charlotte Chan, Alexander B. Ivanov
We initiate the study of affine Deligne-Lusztig varieties with arbitrarily deep level structure for general reductive groups over local fields. We prove that for GLn and its inner…
Ordinary -representations in characteristic two via affine Deligne-Lusztig constructions
Alexander B. Ivanov
The group $\GL_2$ over a local field with (residue) characteristic possesses much more smooth supercuspidal -adic representations, than over a local field of residue char…
Affine Deligne-Lusztig varieties of higher level and the local Langlands correspondence for
Alexander Ivanov
In the present article we define coverings of affine Deligne-Lusztig varieties attached to a connected reductive group over a local field of characteristic . In the case of…
The cohomology of the affine Deligne-Lusztig varieties in the affine flag manifold of
Alexander Ivanov
This paper studies affine Deligne-Lusztig varieties in the affine flag manifold of GL_2. At first we determine all such varieties up to isomorphy. After this we investigate the rep…