On the stable cohomology of the automorphism groups of free groups with coefficients | Vidéo | Carmin.tv

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On the stable cohomology of the automorphism groups of free groups with coefficients

By Christine Vespa

Appears in collection : Chromatic Homotopy, K-Theory and Functors / Homotopie chromatique, K-théorie et foncteurs

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.

Information about the video

Date of recording 26/01/2023
Date of publication 17/02/2023
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Jean Petit
Format MP4

Citation data

DOI 10.24350/CIRM.V.19998603
Cite this video Vespa, Christine (26/01/2023). On the stable cohomology of the automorphism groups of free groups with coefficients. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19998603
URL https://dx.doi.org/10.24350/CIRM.V.19998603

Domain(s)

Bibliography

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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