November 20
Filippo Calderoni,
Rutgers University
Compactness for almost-free groups and modules
Compactness is a property in which a structure is characterized by its local behavior. This is often the result of set theoretical assumptions, such as the existence of large cardinals. In this talk I will discuss compactness results in abelian group theory and homological algebra. I will tell you how working on compactness results for projective modules made us discover a gap in the literature of the model theory of modules. This talk is based on joint work with Esmé Yanowitz (Brown University) carried out during the Summer 2026 REU at DIMACS.