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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…