3 papers
math.RT2026
Deep level Deligne--Lusztig induction for tamely ramified tori
Alexander B. Ivanov, Sian Nie
Deep level Deligne--Lusztig representations, which are natural analogues of classical Deligne--Lusztig representations, recently play an important role in geometrization of irreduc…
math.RT2025
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…
math.AG2025
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…