**UM Math Graduate Students Seminar**

Dr. Greg Galloway

* University of Miami *

**will present**

**On the topology of black holes and beyond**

Friday, March 27, 2015, 3:30pm

Ungar Building Room 402

**Abstract: **

In recent years there has been a great deal of interest in black holes in higher dimensional gravity. This, in particular, has led to questions about the topology of black holes in higher dimensions. In this talk we review Hawking's classical theorem on the topology of black holes in 3+1 dimensions (and its connection to black hole uniqueness) and present a generalization of it to higher dimensions. The latter is a geometric result which places restrictions on the topology of black holes in higher dimensions. We shall also discuss recent work on the topology of space exterior to a black hole. This is closely connected to the Principle of Topological Censorship, which roughly asserts that the topology of the region outside of all black holes (and white holes) should be simple. All of the results to be discussed rely on recently developments in the theory of marginally outer trapped surfaces, which are natural spacetime analogues of minimal surfaces in Riemannian geometry. The first part of the talk will be dedicated to a gentle introduction to general relativity and black holes.

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