Start up the launcher, get a plain white window with text in the middle saying:
This site can’t be reached
The webpage at https://launcher.eveonline.com/release/3104/ might be temporarily down or it may have moved permanently to a new web address.
I can connect to the given address okay (though it doesn’t do much when you hit it from a regular web browser). Network diagnostics in the launcher work and report nothing is wrong. Launcher version is 1381807.
Everything worked fine yesterday.