I just managed to get it working in IE on my machine by doing the following:
I went to the page
Viewed source code
Copied source code into a new HTML doc locally
Did a global find/replace for "/~hslprope" which I turned into "http://188.8.131.52/~hslprope"
It would therefore be my first guess that something about the relative paths is making IE choke.
Do you have the opportunity to do a quick find/replace on them all?
If not, it would be helpful if you could systematically remove elements from the page until you have boiled it down to a bare-bones example which demonstrates your issue.