Stable homology of braid groups with symplectic coefficients

Apparaît dans la collection : Higher Algebra, Geometry, and Topology / Algèbre, Géométrie et Topologie Supérieures

There is a family of symplectic representations of the braid groups given by the "integral reduced Burau representation". I will explain a calculation of the stable homology of the braid groups with coefficients in this Burau representation, composed with any algebraic rational representation of the symplectic group. The answer has important consequences in analytic number theory. (Joint with Bergström-Diaconu-Westerland.)

Informations sur la vidéo

Date de captation 07/05/2024
Date de publication 29/05/2024
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20173703
Citer cette vidéo Petersen, Dan (07/05/2024). Stable homology of braid groups with symplectic coefficients. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20173703
URL https://dx.doi.org/10.24350/CIRM.V.20173703

Domaine(s)

Bibliographie

BERGSTRÖM, Jonas, DIACONU, Adrian, PETERSEN, Dan, et al. Hyperelliptic curves, the scanning map, and moments of families of quadratic L-functions. arXiv preprint arXiv:2302.07664, 2023. - https://arxiv.org/abs/2302.07664