On the classification problem of countable abelian groups – Martino Lupini (Università di Bologna)


Dipartimento di Matematica, Aula Seminari.


I will present the framework of Borel-definable homological algebra, where classical constructions and invariants from homological algebra are enriched with additional information of descriptive set-theoretic nature. I will then explain how this viewpoint allows us to study the complexity of the problem of classifying extensions of two given countable abelian groups, and how the techniques of Borel-definable homological algebra can be also used to obtain new purely algebraic results.

Further information is available on the event page on the Indico platform.

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