# GR Math Seminar: "The graded Lie algebra of general relativity "

Wed, 04/08/2015 - 14:00

Michael Reiterer (IAS and Penn)

Several problems can be written as [x,x]=0 where the unknown x

is an element of degree one in a graded Lie algebra. I show that general

relativity (the Einstein vacuum equations) can also be put in this form.

Using this language, I discuss formal perturbation theory; gauge-fixing;

and some open problems. Familiarity with general relativity is not

assumed, in fact this talk can be taken to be some kind of introduction

to general relativity. Based on arxiv.org/abs/1412.5561. Joint work with

Eugene Trubowitz.