English
On the stable cohomology of the automorphism groups of free groups with coefficients
Multi angle
Auteurs : Vespa, Christine (Auteur de la Conférence)
CIRM (Editeur )
18D10 - Monoidal, symmetric monoidal and braided categories
20F28 - Automorphism groups of groups, See also {20E36}
20J06 - Cohomology of finite groups
CIRM (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
Réalisateur : Petit, JeanLangue : Anglais Date 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 foncteursOrganisateurs de la rencontre : Ausoni, Christian ; Hess Bellwald, Kathryn ; Powell, Geoffrey ; Touzé, Antoine ; Vespa, Christine Dates : 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: Vespa, Christine (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
- [Multi angle] Coinvariants, assembler K-theory, and scissors congruence / Auteur de la Conférence Zakharevich, Inna.
- [Multi angle] Representation spheres and chromatic Picard groups / Auteur de la Conférence Stojanoska, Vesna.
- [Multi angle] How algebraic is a stable model category? / Auteur de la Conférence Roitzheim, Constanze.
- [Multi angle] Topological cyclic homology of the second truncated Brown–Peterson spectrum / Auteur de la Conférence Rognes, John.
- [Multi angle] Equivalences in higher categories / Auteur de la Conférence Ozornova, Viktoriya.
- [Multi angle] (2)-categorical constructions and the multiplicative equivariant Barratt- Quillen-Priddy theorem / Auteur de la Conférence Osorno, Angélica.
- [Multi angle] Equivariant homotopy theory for infinite groups and THH with coefficients / Auteur de la Conférence Nikolaus, Thomas.
- [Multi angle] Equivariant elliptic cohomology / Auteur de la Conférence Meier, Lennart.
- [Multi angle] The universal property of topological Hochschild homology / Auteur de la Conférence Harpaz, Yonatan.
- [Multi angle] Prismatic and syntomic cohomology of ring spectra / Auteur de la Conférence Hahn, Jeremy.
- [Multi angle] Spaces of quasi-invariants / Auteur de la Conférence Berest, Yuri.
- [Multi angle] A survey of Mackey and Green 2-functors / Auteur de la Conférence Dell'Ambrogio, Ivo.
- [Multi angle] The chromatic Nullstellensatz / Auteur de la Conférence Burklund, Robert.
- [Multi angle] Adjoining roots to ring spectra and algebraic K-theory / Auteur de la Conférence Bayindir, Haldun Özgür.
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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