Woody Harrelson revealed his Star Wars character’s name on Jimmy Fallon last night: Beckett. (That’s the standard spelling, anyway.) He’s “kind of a criminal” and a “mentor” (as we knew) to Han Solo.
There are no previously-existing characters with that name in Star Wars. But hopefully this means no one will ask him about Garris Shrike again.
The still-untitled Han Solo standalone is filming now and set for a May 2018 release.