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Topology Seminar: Graphs and bases of free groups

Benjamin Brück (Universität Münster)
Thursday, May 9, 2024
3:30-4:30 PM
3866 East Hall Map
Kevin Piterman and I recently showed that the complex of partial bases of a free group is highly connected. This simplicial complex encodes relations between different bases in the free group. Our proof uses connectivity properties of the boundary of Outer space, a moduli space of graphs used to study automorphisms groups of free groups. I will explain how one can use this space of graphs to deduce properties about the rather algebraic complex of partial bases.
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Topology Seminar - Department of Mathematics, Department of Mathematics