11 citations · 11 across the 3 of their papers we have counts for
4 papers
On the -ordinary locus of a Shimura variety
Xuhua He, Sian Nie
In this paper, we study the -ordinary locus of a Shimura variety with parahoric level structure. Under the axioms in \cite{HR}, we show that -ordinary locus is a union of som…
Connected components of closed affine Deligne-Lusztig varieties
Ling Chen, Sian Nie
For split reductive algebraic groups, we determine the connected components of closed affine Deligne-Lusztig varieties of arbitrary parahoric level.
Cocenters and representations of pro- Hecke algebras
Xuhua He, Sian Nie
In this paper, we study the relation between the cocenter and the representations of an affine pro- Hecke algebra. As a consequence, we obtain a new criterion on the supersingul…
-alcoves and nonemptiness of affine Deligne-Lusztig varieties
Ulrich Goertz, Xuhua He, Sian Nie
We study affine Deligne-Lusztig varieties in the affine flag manifold of an algebraic group, and in particular the question, which affine Deligne-Lusztig varieties are non-empty. U…