Euler characteristics for complexes of graphs

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• Karen Vogtmann (University of Warwick)
• Friday 25 February 2022, 13:45-14:45
• Zoom.

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Outer space is a space of graphs originally introduced as a tool for studying the group of outer automorphisms of a free group. It gives rise to several chain complexes whose orbifold Euler characteristics can be computed by graph-counting methods inspired by quantum field theory. I will describe this, then outline recent results on the subtler question of determining the integral Euler characteristics of the quotient complexes. This is joint work with M. Borinsky.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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