On her Rebel Heart Tour, the supposedly maturing Madonna, 57, will celebrate her latest album of the same name (expect several selections from that disc) but the three-week-old tour is also heavy on greatest hits re-imagined, including "Lucky Star," "Like a Virgin" and "True Blue." She even dusts off "Who's That Girl" for the first time in 30 years on tour, and offers a ukulele treatment of the Edith Piaf signature "La Vie En Rose." This concert has been described as Madonna's lightest roadshow, which is a good thing after the dark, violent MDNA Tour of three years ago. (8 p.m. Thu., Xcel Energy Center, $42.50-$357.50.) Bream
POP/ROCK
Last year, British pop star Leona Lewis wrote an open letter to her fans about her split from Syco Music and its founder Simon Cowell. "I cannot make music that does not speak to my soul, and as scary as it seemed, I could no longer compromise myself, and so I decided to leave." After making four albums with the guru who discovered her on England's "X Factor" and scoring the 2007 smash "Bleeding Love," Lewis released "I Am" in September. With a nod perhaps to Adele, the 30-year-old shows a strong, multi-octave voice on songs about resilience and confidence, though none of her three singles from the album has had any impact in the States. Lewis' KS95 radio-sponsored Twin Cities show also features "Fight Song" hitmaker Rachel Platten, X Ambassadors and Life of Dillon. (7:30 p.m. Fri., Varsity, listen to KS95 to win tickets.) Jon Bream
In 2014, the 50th anniversary of influential folkies Peter, Paul & Mary was recognized with a PBS documentary, a commemorative book and a concert disc featuring mostly songs they never released on studio albums. Peter Yarrow and Noel Paul Stookey continue the celebration this year in concert, saluting the music they made with Mary Travers, who died in 2009. (7:30 p.m. Fri., St. Joan of Arc, 4537 3rd Av. S., Mpls., sold out.) Bream
One of the classic names in R&B since the early 1960s, Rock Hall of Famers the Isley Brothers are back on tour after a hiatus. Actually, there are only two Isleys left — Ron Isley, that Mr. Biggs balladeer, and guitar hero Ernie Isley, last seen on a Jimi Hendrix tribute tour. After Ron served time for income tax evasion, he and Ernie reunited in 2011 to revisit such nuggets as "That Lady," "It's Your Thing," "Fight the Power" and "Twist and Shout." With Dwele and Paris Bennett. (8 p.m. Sat., Orpheum, $59-$179.) Bream
The trio Battles has always thrived on the tension between edgy rock and more experimental, computerized music. On their third full-length, the just-released "La Di Da Di," they tilt toward the conceptual by dispensing with guest vocalists for an instrumental extravaganza laden with looped riffs and beats. Even so, rhythmic complexity takes precedence over squirrelly textures, thanks to ex-Helmet drummer John Stanier, who keeps the focus on thrust over gizmos. The absent vocals are missed, but the music remains fascinating and intense. (8 p.m. Sat., First Avenue, $20.) Britt Robson
Much like his grunge-era cohort Eddie Vedder, Soundgarden frontman Chris Cornell has carved out a respectable niche as a quieter acoustic performer on the side of his hard-rocking band. His new solo album, "Higher Truth," emphasizes his Zeppelin and folk music influences without wussing out on vocals. He's singing the new songs on tour alongside Soundgarden, Audioslave and Temple of the Dog tunes and a grab bag of covers, including ones from both of Minnesota's two biggest music icons. Opener Hemming is a Philadelphia singer who got her break on Linda Perry's VH1 show "Make or Break." (8 p.m. Mon., State Theatre, $49.50-$75.) Chris Riemenschneider
Wolf Alice's local debut at the Turf Club in May is already one of those shows more people claim to have attended than the club actually holds, and even the liars all agree it was stellar. The bombastic, booming but often richly melodic British rock quartet — led by whisper-to-roar-prone North London native Ellie Roswell — has since made a splash on the summer festival circuit and lived up to the hype with its first album, "My Love Is Cool." This one really could be a show to remember. Fellow Brits Drenge and Buffalo, N.Y.'s Made Violent open. (8 p.m. Mon., First Avenue, $16.) Riemenschneider
Def Leppard has been playing the same 15 songs for the past 25 years, so we can't imagine much has changed in the six weeks since the British '80s rockers put on a solid, sold-out showing at the Minnesota State Fair. They even kept one of the same two opening bands, "Modern Day Cowboy" hitmakers Tesla, who drew a rave reception at the grandstand. The middle-slot band has changed, though: Foreigner steps in for Styx, also touring without their '70s-heyday singers and guaranteeing at least a couple more power ballads besides "Love Bites." (7 p.m. Mon., Xcel Energy Center, $29.50-$99.50.) Riemenschneider