3 papers
math.RT2025
The scalar product formula for parahoric Deligne--Lusztig induction
Charlotte Chan
Parahoric Deligne--Lusztig induction gives rise to positive-depth representations of parahoric subgroups of -adic groups. The most fundamental basic question about parahoric Del…
math.RT2025
Generic character sheaves on parahoric subgroups
Roman Bezrukavnikov, Charlotte Chan
We study parabolic induction producing -adic sheaves on a parahoric subgroup scheme in the loop group of a reductive group. Under a genericity assumption on the input data, w…
math.AG2024
On loop Deligne--Lusztig varieties of Coxeter-type for inner forms of
Charlotte Chan, Alexander B. Ivanov
For a reductive group over a local non-archimedean field one can mimic the construction from the classical Deligne--Lusztig theory by using the loop space functor. We study…