**UM Math Graduate Student Seminar**

Eric Ling*University of Miami ***will present**

**Penrose's Singularity Theorem**

Friday, September 28th, 2018, 5:00pm

Ungar Building Room 402**Abstract:**

Singularity theorems have played a prominent role in general relativity.

The first of these theorems was proved in 1965 by Roger Penrose. It shows

that spacetimes with black holes must contain a singularity. In this talk

I will review Penrose's singularity theorem and its proof. Afterwards, I

will show how Greg Galloway and I used a "time reverse" version of

Penrose's singularity theorem along with recent results in 3-manifold

topology to prove a "big bang" singularity theorem.