"Representation Abroad," at the Hirshhorn Museum and Sculpture Garden, certainly restores one's faith in solid, unglitzy, marketable art. Washington's Joe Shannon has chosen 16 painters from England, Colombia, Hungary, Israel and other countries for a show that is unified by its hard-won, unbluffable, eye-convincing drawing. CLASSICAL MUSIC

The big musical event of the week is the opening of the rebuilt Filene Center at Wolf Trap for its first full season since fire destroyed it three years ago. It should open auspiciously -- with the New York City Opera. The company will do three Western works with Eastern motifs. Opening night, on Tuesday, comes Puccini's "Turandot," set in ancient China. The next night there will be Puccini's "Madama Butterfly," set in Japan. Next comes, on Friday, something else set in Japan, "The Mikado" by Gilbert and Sullivan. DANCE

Final performances today in Baltimore's Theatre Project spring "Dancefest of '85" feature zany, inventive humorist "RussiRose, in a matinee and evening program. Liz Lerman, a leading light of Washington dance, premieres her latest evening-length composition, "Russia: The Transparent Apple and the Silver Saucer," in a program by the Dance Exchange Performance Company and Dancers of the Third Age, Thursday and Friday at Sidwell Friends School's Caplin Theatre. This year's edition of the city's most significant dance festival, Washington Dance Directions '85, features 10 area choreographers and companies in three days of performance (with repeats next week) at the Marvin Theatre, Thursday through Saturday. Diane Floyd and Saturday Company will premiere Floyd's solo, "Sanctum," and also perform her 1983 "Triptych," inspired by the writings of Sylvia Plath, at the Dance Place Friday and Saturday. Make Believe Ballroom is a new series of Friday night dances in the big band style, hosted by Rick Colom, with the 10-piece Make Believe Ballroom Band, the Leslie MacKinnon Dancers song and tap revue, and pre-dance lessons for participants an hour before the shindig; this Friday evening the theme is "In the Tropical Mood," featuring samba, rumba and carioca, all in the Art Deco ballroom of the Kennedy-Warren. FILM

The American Film Institute continues its five European directors series with Sergio Leone's "The Good, the Bad and the Ugly," Monday and Thursday at 8:30, as well as films every night by Francois Truffaut, Andrzej Wajda and Werner Herzog.

Tonight and tomorrow at the Circle Theatre, the Taviani brothers' "Padre Padrone," based on a true story about an illiterate Sardinian shepherd who becomes a linguist and writer.

Monday night, the National Theatre's free summer cinema series continues with "Stage Door," starring Katharine Hepburn. At the Helen Hayes Gallery, 1321 Pennsylvania Ave. NW, at 7 p.m.

Among current releases, John Huston's "Prizzi's Honor," a broad black comedy with a delightfully preposterous performance by Jack Nicholson, opening Friday at area theaters. POP MUSIC

The Potomac River Blues Fest features two cooking Chicago bands, Jimmy Rogers and his Chicago All Stars and the Legendary Blues Band. On the Waterfront at Fourth and W streets SW from noon to five today.

Miles has been here and Wynton's coming. Why not check out Dizzy Gillespie, whose trumpet is still as bright and sassy as when he gave be-bop its heart back in the '40s. At Blues Alley Tuesday through Sunday.

Leon Thomas, one of the most overlooked and undervalued jazz vocalists of the '60s, appears with the Malachi Thompson Free Bop Band at Kilimanjaro's Heritage Hall on Thursday.

Charlie's Georgetown starts winding down to its end of June closing with one of its favorites, the elegant tandem of pianist George Shearing and singer Mel Torme. They finesse things from this Friday through to June 23.

Charles Aznavour, the embodiment of Gallic charm and romance, appears at the Kennedy Center Concert Hall on Friday and Saturday.