Ubuntu has a hardware certification program (http://www.ubuntu.com/certification).
If you search under Release 11.10 and laptop, you will find that all are certified under 32-bit and none under 64-bit. In Release 11.04 there are only two out of 107 laptops 64-bit certified.
Why is that the case? And: if a laptop is only 32-bit certified, are there chances it will fail under the 64-bit release?