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Homology and Fixed Points

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If you have a question about this talk, please contact Anton Evseev.

This talk will concentrate on calculating integral group homology via fixed points of endomorphisms of a projective presentation, in a few concrete examples. The theory which leads to this is an attempt to define homology without projectives in the context of semi-abelian categories. We define homology as a limit of a certain diagram, making use of the universal property of a long exact homology sequence. In the case when projective objects do exist, this leads to looking at endomorphisms of projective presentations, and we demonstrate this method on a few concrete examples of groups.

This talk is part of the Junior Algebra and Number Theory seminar series.

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