EA has decided to skip out on E3 2016 in favor of holding their own event that they're calling EA Play. EA says that it's "time to play" and promises an emphasis on putting their players first for this event.
We're excited to announce EA Play, an all-new event experience in Los Angeles and London this June built around our players and bringing our latest games to life.

Join us on June 12 - 14 for an all-new experience with some of the biggest games of the year.

Putting Our Players FirstLive or Online - Join Us Either Way

The EA Play website has a "sign up" button that will allow you to "stay informed." It's probably just signing up for a newsletter or email reminders about the above events.