Fabian Januszewski

collaborators

3 papers

math.NT2025

Locally algebraic representations and integral structures on the cohomology of arithmetic groups

Fabian Januszewski

This paper introduces the notion of locally algebraic representations and corresponding sheaves in the context of the cohomology of arithmetic groups. These representations are of…

math.RT2025

Hausdorffness of certain nilpotent cohomology spaces

Fabian Januszewski, Binyong Sun, Hao Ying

Let $(I ¨ , V)$ be a smooth representation of a compact Lie group $G$ on a quasi-complete locally convex complex topological vector space. We show that the Lie algebra cohomology spac…

math.RT2024

Families of twisted $D$ -modules and arithmetic models of Harish-Chandra modules

Takuma Hayashi, Fabian Januszewski

We develop a theory of tdos and twisted $D$ -modules over general base schemes with a focus on functorial aspects. In particular, we introduce a flat base change functor an…

Locally algebraic representations and integral structures on the cohomology of arithmetic groups

Hausdorffness of certain nilpotent cohomology spaces

Families of twisted D-modules and arithmetic models of Harish-Chandra modules

Families of twisted $D$ -modules and arithmetic models of Harish-Chandra modules