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math.RT2026
A Comparison Theorem for Parahoric Character Sheaves
Zhihang Yu
We establish a Jordan decomposition formula for the characteristic functions of the character sheaves on parahoric subgroups defined in \cite{INY25}. For a sufficiently large ,…
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.RT2025
Generic Mackey Formula for Parahoric Lusztig Functors
Zhihang Yu
Parahoric Lusztig induction gives a broad class of virtual smooth representations of parahoric subgroups in a -adic group, serving as a natural generalization of classical Luszt…