4 papers · 1 filter
An alternative construction of character sheaves on parahoric subgroups
Alexander B. Ivanov, Sian Nie, Zhihang Yu
Inspired by the foundational work of Bezrukavnikov and Chan \cite{BC24} on character sheaves for parahoric subgroups and an alternative interpretation of deep level Deligne-Lusztig…
Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements
Sian Nie, Felix Schremmer, Qingchao Yu
Cases of Shimura varieties where the special fibre of a Rapoport-Zink space is simply the union of classical Deligne-Lusztig varieties are known as fully Hodge-Newton decomposable…
An explicit decomposition of higher Deligne-Lsuztig representations
Ben Liu, Sian Nie
In a previous paper, the second named author obtains a decomposition of an elliptic higher Deligne-Lusztig representation into irreducible summands, which are built in the same way…
Convex elements and cohomology of deep level Deligne-Lusztig varieties
Alexander B. Ivanov, Sian Nie
We essentially complete a program initiated by Boyarchenko--Weinstein to give a full description of the cohomology of deep level Deligne--Lusztig varieties for elliptic tori, with…