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 |
