The central theme of the winter school is that of endofinite objects arising in representation theory. In a module category they include all finite length modules but also many objects that can be considered `large’ in a reasonable sense. Indecomposable large endofinite objects are known to play an important role in a range of contexts in representation theory: they measure representation type in module categories over artin algebras; they parametrise certain rank functions in abelian and triangulated categories and they arise as closed points of the Ziegler spectrum. The school aims to provide an introduction to endofinite objects and other important families of large modules.

This school comprises several mini-courses, designed and offered by the experts, where participants can learn about some classical tools and their applications to contemporary research. Each of the mini-courses focuses on certain aspects of large modules and endofiniteness, primarily with a view towards finite-dimensional algebras. The subjects are designed to be congruent and the ultimate goal is to provide a fresh account of some classical topics and their recent applications in modern representation theory of algebras.