4 papers
A geometric construction of supercuspidal representations
Ben Liu, Sian Nie, Zhihang Yu
We extend the framework of deep level Deligne-Lusztig varieties to the case of arbitrary residue characteristics . As an application, we provide a construction of a large cl…
Characteristic Functions of 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 ,…
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…
Scalar Products of Generic Parahoric Lusztig Inductions
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…