Originally broadcast on PBS, Billy Strayhorn: Lush Life focuses on the composer, arranger and pianist who was Washington-native Duke Ellington’s right hand man for decades, responsible for many of the Duke’s most famous compositions, including “Take the A Train.” But Strayhorn was often overshadowed by the jazz giant. In his shadow, Strayhorn was also notably an openly gay man, at least as open as one could expect to be half a century ago. Presented in conjunction with the exhibition “America I AM: The African American Imprint.” Saturday, March 12, and Sunday, March 13, at 1 p.m. National Geographic Museum, 1145 17th St. NW. Free. Call 202-857-7588 or visit nglive.org.