3 papers
math.RT2024
Families of twisted -modules and arithmetic models of Harish-Chandra modules
Takuma Hayashi, Fabian Januszewski
We develop a theory of tdos and twisted -modules over general base schemes with a focus on functorial aspects. In particular, we introduce a flat base change functor an…
math.AG2024
Algebraic approach to contraction families
Takuma Hayashi
In this paper, we give a purely algebraic approach to the contraction group scheme predicted by Bernstein--Higson--Subag and constructed by Barbasch--Higson--Subag. We also compare…
math.AG2024
Filtrations on the globalization of twisted D-modules over Dedekind schemes
Takuma Hayashi
Fabian Januszewski and the author established the theory of twisted D-modules over general base schemes. In this short note, we construct a -invariant positive exhaustive filtra…