2 papers
math.NT2026
Nonemptiness of single affine Deligne-Lusztig varieties
Dong Gyu Lim
Affine Deligne-Lusztig varieties with various level structures show up in the study of Shimura varieties and moduli spaces of shtukas. Among is the Iwahori level structure which is…
math.NT2025
The connected components of affine Deligne--Lusztig varieties
Ian Gleason, Dong Gyu Lim, Yujie Xu
We compute the connected components of arbitrary parahoric level affine Deligne-Lusztig varieties and local Shimura varieties, thus resolving a folklore conjecture in full generali…