The Events module to date has not supported non friendly URLs. I am hopeful that today I have put in the neccesary code changes to support non friendly URLs on your site. This should work it's way through to the beta site in the next few days, I'm sure Ernst Peter will put out a note when the next beta version is released.
For those testing the beta when it comes out, please post here if you see any problems when using non friendly URLs (or even if there are any issues when using friendly URs, since there is a small possibility that the code changes may affect that). Likely areas are when you click to change view, or select to display a detail page from one of the many views, and the page does a Postback. If you end up somewhere unexpected or nothing happens when you click a link, please let me know. I want to make sure I have covered all the bases.
As always don't run this on yoru production sites, since there many be issues....
Cheers
Roger