English
On the stable cohomology of the automorphism groups of free groups with coefficients
Multi angle
Auteurs : ... (Auteur de la Conférence)
... (Editeur )
18D10 - Monoidal, symmetric monoidal and braided categories
20F28 - Automorphism groups of groups, See also {20E36}
20J06 - Cohomology of finite groups
... (Editeur )
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Résumé :
In this talk, I will give an overview of known results on the stable cohomology of the automorphism groups of free groups with twisted coefficients. After explaining the notion of wheeled PROPs, I will describe a wheeled PROP structure on the stable cohomology of automorphism groups of free groups with some particular coefficients. I will explain how cohomology classes, constructed previously by Kawazumi, can be interpreted using this wheeled PROP structure and I will construct a morphism of wheeled PROPs from a PROP given in terms of functor homology and the wheeled PROP evoked previously. This is joint work with Nariya Kawazumi.
Keywords : Stable cohomology; automorphism groups; wheeled PROP
Codes MSC : Keywords : Stable cohomology; automorphism groups; wheeled PROP
18D10 - Monoidal, symmetric monoidal and braided categories
20F28 - Automorphism groups of groups, See also {20E36}
20J06 - Cohomology of finite groups
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Informations sur la Vidéo
Langue : AnglaisDate de publication : 17/02/2023 Date de captation : 26/01/2023 Sous collection : Research talks arXiv category : Algebraic Topology ; Geometric Topology Domaine : Algebra ; Topology Format : MP4 (.mp4) - HD Durée : 01:12:04 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-01-26-vespa.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Chromatic Homotopy, K-Theory and Functors / Homotopie chromatique, K-théorie et foncteursDates : 23/01/2023 - 27/01/2023 Année de la rencontre : 2023 URL Congrès : https://conferences.cirm-math.fr/2339.html
Données de citation
DOI : 10.24350/CIRM.V.19998603Citer cette vidéo: (2023). On the stable cohomology of the automorphism groups of free groups with coefficients. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19998603 URI : http://dx.doi.org/10.24350/CIRM.V.19998603 |
Voir aussi
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Bibliographie
- KAWAZUMI, Nariya et VESPA, Christine. On the wheeled PROP of stable cohomology of Aut (F_n) with bivariant coefficients. arXiv preprint arXiv:2105.14497, 2021 (To be published in Algebraic and Geometric Topology) - https://arxiv.org/abs/2105.14497
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