Intersections and sums in exact categories

Abstract: We discuss ways to generalise the intersections and sums of subobjects to exact categories (from abelian categories). One way leads to new characterisations of quasi-abelian and abelian categories; another allows us to study the Jordan-Hoelder property for exact categories and describe cases when this property is satisfied.

Based on joint work with T. Brüstle and S. Hassoun

category theoryfunctional analysisrepresentation theory

Audience: researchers in the topic

( slides )

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Additive categories between algebra and functional analysis

Series comments: Aims & Scope: Exchange ideas and foster collaboration between researchers from representation theory and functional analysis working on categorical aspects of the theory. In addition to research talks, there will be four mini-courses of introductory character.

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