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 semiabelian 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/Logic/Number Theory seminar series.
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