3 papers
math.RT2026
Homological Aspects of Separable Extensions of Triangulated Categories
Miltiadis Karakikes, Panagiotis Kostas
We investigate the homological behaviour of compactly generated triangulated categories under separable extensions. We show that homological invariants (finiteness of global dimens…
math.RT2026
Equivariant recollements and singular equivalences
Miltiadis Karakikes, Aristeides Kontogeorgis, Chrysostomos Psaroudakis
In this paper we investigate equivariant recollements of abelian (resp. triangulated) categories. We first characterize when a recollement of abelian (resp. triangulated) categorie…
math.AG2025
An Arithmetic Topology viewpoint on Descent theory and Equivariant Categories
Miltiadis Karakikes, Sotiris Karanikolopoulos, Aristides Kontogeorgis +1
We establish a unified group-theoretic framework bridging the arithmetic homotopy exact sequence of a variety and the Birman exact sequence of a surface. Within this framework, we…