Left Structures and Purity

Abstract: Under mild assumptions on a small additive category, we establish a one-to-one correspondence between its exact structures and certain closed subsets of the Ziegler spectrum of the ind-completion of the category. This is based on a newly developed connection between exact structures and the theory of purity. In fact, our results also apply to left structures, which vastly generalize exact structures.

This talk will take place in hybrid mode at the Institut Henri Poincaré.

K-theory and homologyquantum algebrarings and algebrasrepresentation theory

Audience: researchers in the topic

Paris algebra seminar

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