BAM, which showcases local and out-of-town companies, is one of New York’s most prominent cultural institutions. The Howard Gilman Opera House, with its Federal-style columns and carved marble, is a beautiful dance venue. (The Mark Morris Dance Group generally performs there each spring.) The 1904 Harvey Theater (651 Fulton St between Ashland and Rockwell Pls), formerly called the Majestic, has hosted the work of John Jasperse, Wally Cardona and Matthew Bourne. Each fall, BAM’s Next Wave Festival highlights established and experimental dance groups; in the spring, there’s an assortment of African and modern dance and ballet.