Seminario del 2024

Lunedì
02 dicembre
Luca Marchiori
Seminario di algebra e geometria, logica
ore 14:00
presso Seminario I
Enriching traditional algebraic structures such as abelian groups with a topology runs into some issues from the Homological Algebra point of view, as the categories thus obtained are not, in general, classical abelian categories, but instead only satisfy the weaker notion of being quasi-abelian. The additional homological work required to deal with topological abelian groups has traditionally been carried out for Locally Compact Groups by Moskowitz with extensive use of the Pontryagin duality. However, this work has shown that Locally Compact Groups do not satisfy some useful homological properties. In this talk I will introduce the category of pro-Lie Polish groups, a recently proposed generalization of Polish Locally Compact Groups, and discuss why they are better suited as an object of study of Homological Algebra.

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