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

25 42

The topology of the mapping class group and its Torelli subgroup 4

By Andrew Putman

I will give a broad survey of what is known about the topology of the mapping class group and its Torelli subgroup, focusing on two main topics:1. The stable cohomology of the mapping class group (in particular, the Madsen-Weiss theorem), and how it changes when you pass to finite-index subgroups; and2. The low-dimensional homology of the Torelli group, in particular recent work of the speaker with Minahan where we compute the second rational homology of the Torelli group for g at least 6.No prior knowledge of these groups will be assumed.

Information about the video

Date of recording 04/07/2024
Date of publication 07/01/2026
Institution Institut Fourier
Licence CC BY NC ND
Language English
Format MP4

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