Summer School 2024 - Low dimensional Topology

Collection Summer School 2024 - Low dimensional Topology

Organizer(s) Scientific Committee: Greg Kuperberg, Christine Lescop, Gwénaël Massuyeau, Jean-Baptiste Meilhan / Organization Committee: Christine Lescop, Gwénaël Massuyeau, Jean-Baptiste Meilhan

Date(s) 17/06/2024 - 05/07/2024

linked URL https://if-summer2024.sciencesconf.org

00:00:00 / 00:00:00

39 42

Stable homology of the IA-automorphism group

The IA-automorphism group IA_n of the free group F_n is a normal subgroup of the automorphism group of F_n, which is an analogue of the Torelli groups of surfaces. The homology of IA_n admits an action of the general linear group GL(n,Z). We study the GL(n,Z)-representation structure of the homology of IA_n for sufficiently large n. In this talk, we determine the GL(n,Z)-representation structure of the Albanese homology of IA_n, which is an important quotient of the rational homology of IA_n. We also present some by-products.

Information about the video

Date of recording 03/07/2024
Date of publication 07/01/2026
Institution Institut Fourier
Licence CC BY NC ND
Language English
Format MP4

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