Android 5.0 is already going to be beefing up Android Beam to allow for transfer of more file types, but it looks like Google is also working on a product that would allow file transfers between Android, iOS, and Chrome. The cross-platform file transfer system is supposedly called Co-presence.
It seems like more of a project name anyway, because Co-presence has popped up in a couple APK teardowns, and Google does have a patent filed under that name as well.
Co-presense appears to be aimed at allowing Android, iOS, and Chrome devices communicate with one another and allow for exchanging files, photos, directions, messages, or other content.
Devices would use location data or Bluetooth to establish a connection, then transfer files through Wi-Fi or Wi-Fi Direct.