“Iron Man” director Jon Favreau has emerged as the frontrunner to helm GK Films’ “Jersey Boys,” Graham King’s bigscreen adaptation of the hit Broadway musical “Jersey Boys: The Story of Frankie Valli and the Four Seasons.”GK acquired rights to the project two years ago and set “Hugo” scribe John Logan to pen the script. King and Tim Headington will produce. Story centers around Valli and the other members of pop music sensation the Four Seasons during their rise to stardom. Stage version opened on Broadway in 2005 and has since held more than 2,700 performances. “Boys” would mark Favreau’s first directing gig after a trio of onscreen roles. Multihyphenate will next appear in DreamWorks’ “People Like Us,” which unspools next month, and is currently shooting Disney’s “Iron Man 3″ and Universal’s “Identity Thief.” Favreau also exec produced “The Avengers” for the Mouse House. Sony will distribute “Jersey Boys,” which Valli and fellow Four Seasons singer Bob Gaudio will exec produce. Pic will use much of the music in the stage play, including Four Seasons songs “Sherry,” “Big Girls Don’t Cry,” “Rag Doll,” “Oh What a Night” and “Can’t Take My Eyes Off of You.” Favreau is repped by CAA and law firm Jackoway Tyerman Wertheimer Austen Mandelbaum Morris & Klein.