Thanks, that seems to have worked.
This usually happens when you have an untrusted (i.e. self-signed) SSL certificate. I have a plugin to work around this issue (http://ww.wp.xz.cn/extend/plugins/aarons-no-ssl-flash-upload/), but it disables SSL for Flash file uploads.
Alright, nevermind! I found the answer elsewhere on these forums. Hard problem to Google for though.
Anyway, the solution is to NOT have a form element named “name”, that’s what causes this error.