**UM Math Graduate Students Seminar**

Armando Cabrera

*University of Miami*

**will present**

**Mathematical Relativity and a compactification of the Minkowski Spacetime**

Friday, November 5, 2010, 2:30pm

Ungar Building Room 402

**Abstract:**In this talk we will go through the basic definitions of mathematical Relativity. After this brief introduction, we will focus our attention on the Minkowski Spacetime. We will talk about the transformations that preserve separation zero (i.e. when a signal of light can pass between two events). In order to extend this kind of transformations when they are defined in proper subsets of the Minkowski Spacetime, we will have to join to this spacetime a "null cone at infinity". The result is a compact space which is called the Conformal Minkowski Spacetime (Lester, J. and Popovici et al). The aim of the talk is to construct this space, if we have some time left, I'll give a sketch of the proof of the theorem of characterization of such transformations.

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