Skip to main content

From flat doughnuts to outer space: a classifying space odyssey

Posted in
Speaker: 
Jean Pierre Mutanguha
Affiliation: 
MPIM
Date: 
Mon, 2021-05-17 14:00 - 15:00
Parent event: 
MPIM Topology Seminar

Meeting ID: 916 5855 1117
Password: as before.
Contact: Aru Ray, Tobias Barthel,Viktoriya Ozornova
Slides: are attached below or see our Nextcloud
 

Starting with a motivating example of the moduli space of flat tori, we will define the outer space of a free group F. This can be thought of as a universal cover of a moduli space of graphs. In fact, we can do even better and view the moduli space of graphs as a (kind of) classifying space for Out(F), the outer automorphism group of F. We will deduce cohomological properties of Out(F) and also study individual elements of Out(F) by looking at their dynamics on outer space.

AttachmentSize
File Raagout2-a classifying space odyssey_Mutanguha.pdf3.43 MB
© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A