So I did a search for "chrome 13.04" and nothing specifically relating to this issue popped up.
I did an in-place upgrade from 12.10 to 13.04. I used Google Chrome in 12.10 with no issues. Upon upgrading however, I am getting some random graphical glitches. I've attached a photo of one of them I get on Facebook. It seems to happen in the same spots, but the graphical glitch will be different. In this screenshot it happens to be surrounding an embedded flash applet, but I've seen it affect non-flash elements on different web pages as well. I'm using the open source graphics drivers on a built-in ATI graphics card in my HP Pavilian P6803w tower because AMD doesn't make a driver that supports my card on the newer versions of Xorg.