The Week’s guide to what’s worth watching

The Invisible War

The statistics are chilling: American women serving in combat zones are more likely to be raped by a fellow soldier than killed by enemy fire. This Oscar-nominated 2012 documentary, airing for the first time following a theatrical release that spurred changes in Department of Defense policy, uses interviews with victims and their advocates to illuminate a disturbing epidemic. Monday, May 13, at 10 p.m., PBS; check local listings

Frontline: Never Forget to Lie

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Filmmaker Marian Marzynski was 5 years old in 1942 when his parents smuggled him out of the Warsaw ghetto and told him to pretend he wasn’t Jewish. He would pass much of the war serving as an altar boy in the Catholic orphanage that gave him shelter, and he’d never see his father again. In this emotional documentary, Marzynski returns to his native city with several other child survivors, each determined to confront a painful past. Tuesday, May 14, at 10 p.m., PBS; check local listings

The Office

American remakes of popular British TV shows are often watered-down imitations. But The Office took on a life of its own on these shores and outlasted its British older sibling by seven seasons. This week, the show goes out with a bang in a finale crowded with special guests. Might former star Steve Carell be among them? Thursday, May 16, at 9 p.m., NBC

28th Annual Rock and Roll Hall of Fame Induction Ceremony

Let there be rock—and disco, and rap, and Chicago blues, too. Rush, Heart, Donna Summer, Quincy Jones, Albert King, and Public Enemy all had their tickets to rock’s pantheon punched in this year’s Hall of Fame induction ceremony in April. Highlights of the taped festivities include a Donna Summer medley performed by Jennifer Hudson and Dave Grohl’s Foo Fighters performing as Rush in jumpsuits and wigs. Saturday, May 18, at 9 p.m., HBO

Life Below Zero

There’s remote, and then there’s remote Alaska. Most of the handful of hearty souls featured in this new reality series live inside the Arctic Circle, where addresses are GPS coordinates and bears, wolves, and 60-below temperatures are regular threats. Cameras capture the risks but also the thrill of living beyond civilization’s edge. Sunday, May 19, at 10 p.m., National Geographic

Other highlights

So You Think You Can Dance

That other dance-contest series gives you “celebrities” stumbling through a salsa. The 10th season of this one brings in a new crop of talented, aspiring professionals ready to pirouette and krump their way toward a massive potential cash prize. Tuesday, May 14, at 8 p.m., Fox

Great Performances at the Met: Rigoletto

It shouldn’t work, but the change of setting from 16th-century Mantua, Italy, to 1960s Las Vegas turns Verdi’s classic opera into a lively romp. Friday, May 17, at 9 p.m., PBS; check local listings

Billboard Music Awards

Bruno Mars, Justin Bieber, Taylor Swift, and the Band Perry are scheduled to perform live at this annual awards ceremony, which will also feature a stage turn for Prince, on a night when the artist will receive a lifetime achievement award.Sunday, May 19, at 8 p.m., ABC