According to HTML5Doctor.com and other HTML5 introductory sites, the header element should contain a h1-h6 tag plus other navigational or introductory content. However, the
Don't get confused by "should" contain and "must" contain. You aren't required to have anything inside the header you don't want but the 'semantic' purpose of the header is that is where you should look for and place such things, at the head of a document. Just as you would look for the title or introduction or table of contents at the top of a printed page.