29 June 2015 to 1 July 2015
Europe/Paris timezone
29 June - 1 July 2015, Institut de Recherche Mathématique Avancée at the Université de Strasbourg, France

Homology of functors from groups to abelian groups

30 Jun 2015, 11:00
50m
Grand Amphi de Maths ()

Grand Amphi de Maths

Invited research talk

Speaker

Christine Vespa (Strasbourg)

Description

Functor homology (i.e. homological algebra in functor categories) on a suitable category allow us to compute some stable homology of linear groups, orthogonal groups or symplectic groups with twisted coefficients. Little is known concerning stable homology of automorphism groups of free groups with twisted coefficients. We have cancellation results, several computations in small degree by Satoh and explicit classes constructed by Kawazumi. Homology of functors from groups to abelian groups should help us to better understand stable homology of automorphism groups of free groups with twisted coefficients. In this talk, I will explain the previous motivation for the study of homology of functors from groups to abelian groups and I will give several results concerning this functor homology.

Primary author

Christine Vespa (Strasbourg)

Presentation Materials

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