We use here IE9 as default. Next time we want eventually step further to IE10. I read something about Problems with the People-Picker and the preview of Excel files.
Did you have any experience with this combination?
You can press F12 to bring up the developer tools and then try changing both the Browser Mode and Document Mode.
In particular, try changing the browser mode to Internet Explorer 10 Compatibility View and the document mode to Internet Explorer 8 standards.
in this article you can read the different levels of Web Browser Support by SharePoint: http://technet.microsoft.com/en-us/library/cc263526(v=office.14).aspx#browserdetail
This is a nice thread about the IE10 compatibility: http://social.technet.microsoft.com/Forums/en-US/sharepointgeneralprevious/thread/d806c08b-ec61-4639-9798-3e16a81c58e2