SVGs are broken, and the solution is to remove the base tag and append the urls manually, but I can't find the base tag. Here is the issue in question: https://github.com/ember-cli/ember-cli/issues/2633
It's in config/environment.js in two spots:
var ENV = {
modulePrefix: 'projectname',
environment: environment,
baseURL: '/',
...
if (environment === 'test') {
// Testem prefers this...
ENV.baseURL = '/';
ENV.locationType = 'none';
Delete those TWO lines and make sure that all of your relative URLs are correct.