The season will begin with “Girl From the North Country,” written and directed by Conor McPherson, with songs by Mr. Dylan. The show, a boardinghouse drama set in 1934 in Duluth, Minn., which is Mr. Dylan’s hometown, was produced last year at the Old Vic in London, and then earlier this year in the West End.
Ms. Parks’s new play is called “White Noise,” and is about the impact on a group of friends of a racially freighted police incident. The play will be directed by Oskar Eustis, the artistic director of the Public.
The Public season will also include three new plays: “Eve’s Song,” about the contemporary racial climate, written by Patricia Ione Lloyd and directed by Jo Bonney; “Ain’t No Mo’,” written by Jordan E. Cooper and directed by Stevie Walker-Webb, about an imagined exodus of black Americans; and “Socrates,” written by Tim Blake Nelson and directed by Doug Hughes, about, as the title suggests, the Greek philosopher.