63 citations · 123 across the 23 of their papers we have counts for
24 papers
Zero-dimensional affine Deligne--Lusztig varieties
Xuhua He, Sian Nie, Qingchao Yu
In this paper, we study the affine Deligne--Lusztig variety and classify all quadruples with . This question was first asked by…
Steinberg's cross-section of Newton strata
Sian Nie
In this note, we introduce a natural analogue of Steinberg's cross-section in the loop group of an unramified reductive group . We show this loop Steinberg's cross-secti…
Affine Deligne--Lusztig varieties with finite Coxeter parts
Xuhua He, Sian Nie, Qingchao Yu
In this paper, we study affine Deligne--Lusztig varieties when the finite part of the element in the Iwahori--Weyl group is a partial -Coxeter element. We show that…
Demazure product of the affine Weyl groups
Xuhua He, Sian Nie
The Demazure product gives a natural monoid structure on any Coxeter group. Such structure occurs naturally in many different areas in Lie Theory. This paper studies the Demazure p…
Connectedness of affine Deligne-Lusztig varieties for unramified groups
Sian Nie
For unramified reductive groups, we determine the connected components of affine Deligne-Lusztig varieties in the partial affine flag varieties. Based on the work of Hamacher-Kim a…
Connectedness of Kisin varieties associated to absolutely irreducible Galois representations
Miaofen Chen, Sian Nie
We consider the Kisin variety associated to a -dimensional absolutely irreducible mod Galois representation of a -adic field and a cocharacter . Kisin conj…