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### A Relative Algebraic Torus Theorem

**Geometry/Topology**

Speaker: | Peter Scott, University of Michigan |

Location: | 1147 MSB |

Start time: | Tue, Apr 30 2019, 1:30PM |

In joint work with Gadde Swarup and Vincent Guirardel, we have proved a generalization of the Algebraic Torus Theorem, which was proved by Dunwoody and Swenson.

In this talk, I will start by discussing the Algebraic Torus Theorem, and how it is related to the topology of surfaces and 3-manifolds. Then I will indicate what a relative version of this result looks like and why low dimensional topology makes it natural to consider such a thing. Finally I will very briefly discuss the key ideas in our work, and discuss some applications.