3 papers
math.CT2026
A Categorical Framework for the Direct Integration of Banach Spaces
Daniel Funck, Giacomo Gavelli
We construct a categorical framework in which we can view the direct integral as a functor taking as input objects in a certain category of Abstract Banach bundles and outputting a…
math.NT2025
The geometry of the unipotent component of the moduli space of Weil-Deligne representations
Daniel Funck
In this paper, we study the moduli space of unipotent Weil-Deligne representations valued in a split reductive group and characterise which irreducible components are smooth. W…
math.NT2024
Singularities of Steinberg deformation rings
Daniel Funck, Jack Shotton
Let and be distinct primes, let be a local field with residue field of characteristic , and let be the irreducible component of the moduli space of La…