This is quite possibly my favorite style of music, it has a great bass-line and the rhythm provided by the drums is quite lovely not to mention the piano is altogether beautiful.
Take this as you will, but I think it would be nice if you added a sax solo, or maybe even a muted trombone sound somewhere. I say "take it as you will" because I played sax in college...so a tad biased.
As far as names go, try Illusion in Blue, or Piano Man.
To be honest I don't do well naming things.
Great song though, really liked it!