I explain how async void methods work - and why they should be avoided - in my Best Practices in Asynchronous Programming article.
async void has the same semantics as async Task, except for exceptions. An async void method will capture the current SynchronizationContext at the beginning of the method, and any exceptions from that method will be captured and raised directly on that captured context. In the most common scenarios, this will cause an application-level exception, usually a crash. Some people call async void methods "fire-and-forget", but because of their exceptional behavior, I prefer "fire-and-crash". :)
"Avoid async void" is the general guideline, with one notable exception: event handlers (or items that are logically event handlers, such as ICommand.Execute implementations).
How does it work? How does this translate to aspnet?
It works just like any other async method. The main platform difference is that the UI thread doesn't need to know when the async method completes. ASP.NET needs to know that so it knows when to send the request, but the UI has no need to know when the async method completes. So async void works. It's still best avoided, because the calling code usually does need to know when it completes.