Malcolm Brogdon and Virginia will play George Washington in a home-and-home series beginning in November. (Toni L. Sandys/The Washington Post)

Virginia and George Washington, each coming off historic 2013-14 seasons, announced Monday they have agreed to play a home-and-home men’s basketball series over the next two years.

The Colonials will travel to Charlottesville on Nov. 21 to face Virginia at John Paul Jones Arena, and the Cavaliers plan to return the visit to Washington on Nov. 16, 2015. It will be the first ACC team to play at Smith Center since Georgia Tech in 1988.

“Our goal is to play a schedule that is challenging and puts us in a position for a berth to the NCAA tournament every season,” said George Washington Coach Mike Lonergan, who signed a contract extension through the 2020-21 season last month. “It’s going to be an exciting regional rivalry for our players, students, alumni and fans.”

The Colonials earned a berth into the NCAA tournament for the first time since 2007 this past season, finishing with a 24-9 record and the second-most wins in program history. Virginia won the ACC regular season and tournament titles in the same season for the first time in school history and earned a No. 1 seed in the NCAA tournament, compiling a 30-7 record after a run to the Sweet 16.

George Washington and Virginia were slated to face one another in this year’s round of 32 in Raleigh, N.C., but the ninth-seeded Colonials fell to No. 8 seed Memphis in their first game of the NCAA tournament. The two schools last met in men’s basketball in the first round of the 2004 National Invitation Tournament and haven’t played one another during the regular season since 1984.