SUNDAY

Shameless 9 p.m., Showtime

Every time I see Emmy Rossum all prettied up at some awards show or singing opera or pop on some talk show, I am reminded of how profoundly she transforms herself to play Fiona. She gives one of TV’s great underappreciated performances on “Shameless,’’ as the oldest sibling and caretaker of the Gallagher family. She puts her body and soul into the role, bouncing off walls as life throws one curveball after another at her. Fiona is both a responsible adult and a girl struggling with a legacy of self-destruction, and Rossum makes those conflicting qualities work together effortlessly.

MONDAY

The Grammy Awards 8 p.m., CBS

After her Super Bowl national anthem, and before her performance at the Oscars, Lady Gaga is going to perform a tribute to David Bowie at the Grammys. Also performing: Adele, Kendrick Lamar, Carrie Underwood, the Weeknd, and the cast of Broadway’s “Hamilton.’’ LL Cool J is the host.

TUESDAY

The Black Panthers: Vanguard of the Revolution 9 p.m., WGBH 2

This episode of “Independent Lens’’ takes on the Black Panther Party, a black nationalist organization founded in 1966 by Bobby Seale and Huey P. Newton. The documentary will include archival footage and remarks from Black Panthers, FBI informants, and journalists.

WEDNESDAY

Broad City 10 p.m., Comedy Central

This makes me happy. This enjoyable comedy returns for season three, with a typically “Broad City’’ kind of plot as Abbi and Ilana search for a public bathroom.

THURSDAY

You, Me and the Apocalypse 8 p.m., NBC

After some early work as a, um, celebrity sex-tape pioneer, Rob Lowe has evolved into a pretty good comic actor. In “You, Me and the Apocalypse,’’ though, Lowe is aces. He plays Father Jude, a priest at the Vatican who is a professional Devil’s Advocate. A chain smoker and rogue, Father Jude tries to prove that candidates for sainthood don’t deserve the honor. He’s the Vatican vetter. Lowe takes full advantage of the opportunities in the role, and it’s a pleasure to watch him.

FRIDAY

Carole King: Natural Woman 9 p.m., WGBH 2

It’s tomorrow, and we still love her. This episode of “American Masters’’ profiles singer-songwriter Carole King. The documentary looks into her Brooklyn childhood, her personal and professional partnership with Gerry Goffin in the 1960s, and her solo success. King appears and talks about her abusive marriage to Rick Evers and her early hesitation about “Beautiful: The Carole King Musical.’’

SATURDAY

Judgment At Nuremberg 10 p.m., TCM

Filmmaking has come a long way since this over-long 1961 film about the 1948 trials of Nazi defendants charged with war crimes against humanity. But director Stanley Kramer’s film still carries a lot of weight, with an amazing cast including Spencer Tracy, Marlene Dietrich, Judy Garland, Montgomery Clift, and Maximilian Schell, who won an Oscar for best actor.

MATTHEW GILBERT