This volume brings together selected contributions from the conference "Functor and Tensor Categories, Models and Systems" (Santiago de Compostela, Spain, June 2024), along with several invited contributions. As a satellite conference of the 9th European Congress of Mathematics, it attracted many participants and excellent speakers, some of whose presentations form the basis of the papers collected in this volume.
Colocalizing subcategories on differentially graded algebras.- A module-theoretic introduction to abstract elementary classes.- The dark side of categorical Banach space theory.- The Ziegler spectrum for enriched ringoids and schemes.- Distributive laws in a non associative setting.- Universal enveloping of certain types of structures of Lie and Leibniz algebras.- Finite-order distributions: A purely algebraic approach.- Cotilting dualities for Artinian rings.- On covering theory and its applications.- On the computation of the vanishing locus of a finitely presented functor.- Pp-types in additive structures.- On the classification of centralizers of ODOs: An effective differential algebra approach.- Controllability and vector potential.- Morphisms determined by objects and the minimal determiners.
Alex Martsinkovsky is an associate professor at the Department of Mathematics, Northeastern University, Boston, USA. He holds a PhD degree in Mathematics from Brandeis University. His main interests include functor categories, homological algebra, and their applications. He has co-edited six volumes for the American Mathematical Society, Cambridge University Press and Springer.
