Jazz Listings for Dec. 6-12 Rez Abbasi Quartet (Saturday) Born in Pakistan but raised in California, and a New Yorker since the early 1990s, Mr. Abbasi has fashioned a career out of contemporary fusions, with keen insight and fleet technique. This band puts him in fine company, alongside the saxophonist Mark Shim, the bassist Stephan Crump and the drummer Tyshawn Sorey. At 9 and 10:30 p.m., Cornelia Street Café, 29 Cornelia Street, Greenwich Village, (212) 989-9319, corneliastreetcafe.com; $10 cover, with a $10 minimum. Nate Chinen Melissa Aldana & the Crash Trio (Friday and Saturday) A couple of months ago Melissa Aldana, a young tenor saxophonist originally from Santiago, Chile, and now living in New York, won the Thelonious Monk International Jazz Competition, becoming the first female musician to do so. She appears in a cozily familiar room with her Crash Trio, which features Pablo Menares on bass and Francisco Mela on drums. 10:30 p.m., Smalls Jazz Club, 183 West 10th Street, West Village, smallsjazzclub.com; $20 cover. Chinen Peter and Will Anderson (through Dec. 29) The upstanding young torchbearers Peter and Will Anderson - also saxophonists, clarinetists, Juilliard alumni and identical twins - present a show called "Le Jazz Hot: How the French Saved Jazz." The engagement, running through much of December, will feature a quintet inspired by the music of Django Reinhardt, Sidney Bechet and others. Tuesdays through Thursdays at 7:30 p.m., Fridays at 8:30 p.m., Saturdays at 5:30 and 8:30 p.m., Sundays at 3:30 and 7:30 p.m., 59E59 Theaters, 59 East 59th Street, Manhattan, (212) 753-5959, 59e59.org; $25, $17.50 for members. ★ Big Band Holidays (Thursday through Dec. 14) The new edition of Jazz at Lincoln Center's annual holiday concert will feature, as usual, the organization's house orchestra as led by its artistic director, Wynton Marsalis. What's new this year is the addition of Cécile McLorin Salvant, a savvy young jazz vocalist who released one of this year's most commanding debut albums, and who has never met an old-fashioned melody she couldn't reanimate with style. At 8 p.m., Rose Theater, Frederick P. Rose Hall, Jazz at Lincoln Center, 60th Street and Broadway, (212) 721-6500, jalc.org; $30 to $105. Anat Cohen Quartet (Friday through Sunday) The clarinetist and tenor saxophonist Anat Cohen aims for expressive flexibility on her sixth album, "Claroscuro," which has themes by Artie Shaw, Abdullah Ibrahim and Antônio Carlos Jobim - and a song apiece by Ms. Cohen and two of her steadfast band mates, the pianist Jason Lindner and the drummer Daniel Freedman. At 7:30 and 9:30 p.m., Dizzy's Club Coca-Cola, Frederick P. Rose Hall, Jazz at Lincoln Center, 60th Street and Broadway, (212) 258-9595, jalc.org; $45 cover, $15 for select sets for students, with a minimum of $10 at tables, $5 at the bar. George Coleman New Octet (Wednesday through Dec. 15) A tenor saxophonist of voluble expertise, George Coleman flexes his might as an arranger with this eight-piece ensemble, featuring team players like the tenor saxophonist Eric Alexander, the baritone saxophonist Gary Smulyan, the pianist Harold Mabern, and the trumpeter Jeremy Pelt. On Wednesday only, the trumpeter Bill Mobley subs in. At 7:30 and 9:30 p.m., Jazz Standard, 116 East 27th Street, Manhattan, (212) 576-2232, jazzstandard.net; $25 and $30. ★ The Fellowship Band (Tuesday through Dec. 15) The warmth and elasticity of this ensemble, formerly billed under the name of its drummer and founder, Brian Blade, suggests a modern amalgam of rustic Americana, from gospel to jazz to folk to country. Along with Mr. Blade, one of the most unaffectedly charismatic musicians in jazz, the band features Jon Cowherd on piano, Melvin Butler and Myron Walden on saxophones, Chris Thomas on bass and Steve Cardenas on guitar. At 8:30 and 10:30 p.m., Village Vanguard, 178 Seventh Avenue South, at 11th Street, West Village, (212) 255-4037, villagevanguard.com; $25 cover, with a one-drink minimum. Fourplay (Tuesday through Dec. 15) A few years ago the lineup of this contemporary-jazz supergroup changed significantly, as Larry Carlton vacated the guitar chair, making room for another suave technician, Chuck Loeb. The shift has worked seamlessly, like the interplay among the rest of the band: the keyboardist Bob James, the bassist Nathan East and the drummer Harvey Mason. Given the timing of this run, expect at least a nod to the band's 1999 holiday album, "Snowbound." At 8 and 10:30 p.m., Blue Note, 131 West Third Street, Greenwich Village, (212) 475-8592, bluenote.net; $45 cover at tables, $30 at the bar, with a $5 minimum. ★ Bill Frisell's Big Sur Quintet (Saturday) "Big Sur," the winningly melodic recent album by the guitarist Bill Frisell, is about the rugged sweep of California coast that runs south of the Monterey Peninsula, with a sound that often courts the majestic. Like the album, this concert will feature the violist Eyvind Kang, the violinist Jenny Scheinman, the cellist Hank Roberts and the drummer Rudy Royston - musicians with a strong feeling for Mr. Frisell's language. At 6:30 and 9 p.m., Le Poisson Rouge, 158 Bleecker Street, near Thompson Street, Greenwich Village, (212) 505-3474, lepoissonrouge.com; $35 in advance, $40 day of show. ★ Kenny Garrett Band (Friday through Sunday) Focus has never seemed a problem for the alto and soprano saxophonist Kenny Garrett, who at 52 still possesses the taut, molten sound that made him a force about 30 years ago. His chosen path as a bandleader builds on the mid-"60s terrain of the John Coltrane Quartet, and there'll be a typical amount of slashing polyrhythm and modal expedition in this weekend engagement, which celebrates his recent album "Pushing the World Away." At 8 and 10 p.m., Iridium Jazz Club, 1650 Broadway, at 51st Street, (212) 582-2121, theiridium.com; $35 cover. ★ Benny Golson Quartet (through Sunday) The tenor saxophonist Benny Golson is celebrated in jazz culture for a number of things: his smartly sturdy compositions; his gruff but dignified sound; his voluminous, loquacious wit. All are sure to factor into this run, featuring Mike LeDonne on piano, Buster Williams on bass and Carl Allen on drums. At 7:30 and 9:30 p.m., Jazz Standard, 116 East 27th Street, Manhattan, (212) 576-2232, jazzstandard.net; $30. ★ Keith Jarrett, Gary Peacock, Jack DeJohnette (Wednesday) The pianist Keith Jarrett, the bassist Gary Peacock and the drummer Jack DeJohnette have been a working trio for 30 years now, and can still deliver moments of rare cohesive magic: see for instance much of "Somewhere," the album they released this year, recorded in concert in 2009. There are those who never miss a New York performance by the band, and others who pick and choose; the smart money says this is one of those times to take the plunge. At 8 p.m., Carnegie Hall, (212) 247-7800, carnegiehall.org; $45 to $100. ★ Jazz Stories: Eddie Gomez, Kenny Barron, Al Foster, Wallace Roney (Tuesday through Dec. 14) It says something that the trumpeter Wallace Roney is the young man of this dignified bunch, at 53. Otherwise it's a cooperative with its roots in the 1960s and "70s, technically accomplished but ever-conscious of ensemble subtleties, with Mr. Gomez on bass, Mr. Barron on piano and Mr. Foster on drums. At 8:30 and 11 p.m., Birdland, 315 West 44th Street, Clinton, (212) 581-3080, birdlandjazz.com; $40 cover, with a $10 minimum. ★ Joe Lovano at the Stone (through Sunday) The saxophonist Joe Lovano has been in residence this week at the Stone, a more spartan space than usual, and has made himself at home there. On Friday he'll perform improvised duets with the ingenious avant-garde drummer Milford Graves; on Saturday he'll convene something he calls the Village Rhythm Band, with Liberty Ellman on guitar, Matthew Garrison on bass, Abdou Mboup on percussion and Otis Brown III on drums. The finale, on Sunday, will be an iteration of his Saxophone Explosion band, with surprise guest saxophonists (perhaps including John Zorn, the Stone's proprietor and resident spirit). At 8 and 10 p.m., Avenue C and Second Street, East Village, thestonenyc.com; $25 on Friday, $20 on Saturday and Sunday. Bill Mays Inventions Trio (Saturday) This coolly chamberlike trio - with Bill Mays on piano, Marvin Stamm on trumpet and Alisa Horn on cello - has a new album, "Life's a Movie," that neatly captures its easygoing but elevated rapport. It seems likely that this one-nighter will include portions of the album's title track, a suite composed by Mr. Mays, with the subtitle "4 Cues in Search of a Film." At 8 and 10 p.m., Jazz at Kitano, 66 Park Avenue, at 38th Street, (212) 885-7119, kitano.com; $25 cover, with a $15 minimum. Ted Rosenthal Trio (Friday) Ted Rosenthal, a pianist of fastidious purpose, has a new holiday album, "Wonderland," featuring the same attentive trio found here, with Noriko Ueda on bass and Tim Horner on drums. David Sanborn (Friday through Sunday) An alto saxophonist synonymous with unctuous, gleaming crossover fare, Mr. Sanborn has been returning to his roots: the piquant soul-jazz of Hank Crawford and, by extension, Ray Charles. He returns to his regular New York perch with a band that includes Ricky Peterson on organ and piano, Nicky Moroch on guitar, Richard Patterson on bass and Gene Lake on drums. At 8 and 10:30 p.m., Blue Note, 131 West Third Street, Greenwich Village, (212) 475-8592, bluenote.net; $55 cover at tables, $30 at the bar, with a $5 minimum. ★ Sara Serpa (Friday) Ms. Serpa, an astute and nimble young jazz vocalist from Portugal, has rarely been caught recently without a concept in play. Here she presents "Breathing Suite," inspired by the feminist philosopher Luce Irigaray, with vital help from the guitarist André Matos, the pianist Kris Davis, the bassist Eivind Opsvik and the drummer Tyshawn Sorey. A following set, at 10:30 p.m., will feature Mr. Matos with his quartet. At 9 p.m., Cornelia Street Café, 29 Cornelia Street, Greenwich Village, (212) 989-9319, corneliastreetcafe.com; $10 cover, with a $10 minimum. Alex Sipiagin Quintet (Tuesday) The trumpeter Alex Sipiagin, who favors a smartly updated variation on hard bop, recently released "Live at Smalls," an album that captures the vibrancy and vitality of his style. As on the album, he works here with the pianist David Kikoski and the bassist Boris Kozlov, otherwise enlisting Steve Wilson on saxophones and Donald Edwards on drums. At 7:30 and 9:30 p.m., Jazz Standard, 116 East 27th Street, Manhattan, (212) 576-2232, jazzstandard.net; $20 cover. ★ Esperanza Spalding (Friday through Sunday) "We Are America," the stand-alone new single by Esperanza Spalding, unfolds as an earnest message song, aimed at closing the detention camp at Guantánamo Bay, Cuba. It's the latest example of the uses that Ms. Spalding finds for her own celebrity - and a fine extension of the music on "Radio Music Society," the crossover pop album she released last year. She has worked as both a leader and an ensemble member at the Village Vanguard, but not with this crew, before now. At 8:30 and 10:30 p.m., Village Vanguard, 178 Seventh Avenue South, at 11th Street, West Village, (212) 255-4037, villagevanguard.com; $30 cover, $25 on Sunday, with a one-drink minimum. ★ The Charles Tolliver Residency (Wednesday) During the "Loft Jazz" era of the 1970s, one beacon of quality was the trumpeter Charles Tolliver, who released a series of vital albums on his Strata-East label, notably the 1971 quartet outing "Music Inc." Then Mr. Tolliver disappeared from the scene, returning only within the last decade, often with a big-band format. He's holding down a Wednesday-night residency this fall at the Cell Theater. At 8 and 10 p.m., the Cell Theater, 388 West 23rd Street, Chelsea, (646) 861-2253, brownpapertickets.com; $20 and $25. ★ David Virelles and Continuum (Friday and Saturday) A freethinking young Cuban pianist, Mr. Virelles released one of last year's best and most intriguing albums: "Continuum," an ever-shifting amalgam of ancient folklore and avant-garde protocol. Here he presents a new Jazz Gallery commission, "Threefold," with the bassist Ben Street, the percussionist-poet Román Díaz and the drummer Eric McPherson. At 9 and 10:30 p.m., Jazz Gallery at Salt Space, 1160 Broadway, fifth floor, at West 27th Street, (212) 242-1063, jazzgallery.org; $20, $10 for members. Bobby Watson and Horizon (Thursday through Dec. 15) The alto saxophonist Bobby Watson formed his first version of Horizon more than 25 years ago, managing to iron a sharp new crease into the legacy of Jazz Messengers-inspired hard bop. His current iteration of the group consists of Terell Stafford on trumpet, Edward Simon on piano, Essiet Essiet on bass and Victor Lewis on drums. At 7:30 and 9:30 p.m., Dizzy's Club Coca-Cola, Frederick P. Rose Hall, Jazz at Lincoln Center, 60th Street and Broadway, (212) 258-9595, jalc.org; cover, $40 to $45, students $20 to $25, with a minimum of $10 at tables, $5 at the bar. ★ Miguel Zenón (Saturday) The industrious alto saxophonist Miguel Zenón has done some of his best work by recontextualizing the musical traditions of his native Puerto Rico, and that remains true of "Identities Are Changeable: Tales From the Diaspora," a song cycle and video installation that has its premiere here. He composed it for his working quartet and an expanded cohort that includes four trumpets, five saxophones and three trombones. At 9:30 p.m., Zankel Hall, Carnegie Hall, (212) 247-7800, carnegiehall.org; $43 and $50.