New Yorker Conrad Herwig is part of a generation of contemporary jazz trombonistsincluding Steve Turre, Ray Anderson, and Mark Nightingalewho have revitalized that much-maligned, often unwieldy instrument. On his CD The Latin Side of John Coltrane, he imaginatively recasts 10 Coltrane compositions in Latin settings, emphasizing the African roots common to jazz and Afro-Cuban music. Unlike most tribute albums, which leave the impression of molehills imitating mountains, Herwig’s new recording creatively honors both traditions. He’ll be performing with three of our town’s most accomplished musicianspianist Bill Harris, bassist Tommy Cecil, and drummer Tony Martucciat 8:30 & 10:30 p.m. tonight and Saturday the Willard Hotel’s Nest Lounge, 1401 Pennsylvania Ave. NW. $14. (202) 628-9100. (Joel E. Seigel)