FABIAN ALMAZAN TRIO at Jazz Gallery (Oct. 5, 7:30 and 9:30 p.m.). Among the most talented young pianists in jazz, Almazan has doubled for the past two years as an impresario and tripled as an activist. His label, Biophilia Records, releases albums with an eye toward sustainability, and donates a portion of its proceeds to ecological causes. His most recent album, This Land Abounds With Life, featuring his trio, is a writhing, emotionally charged lament, full of some of the finest writing and playing of his blossoming career. Here Almazan appears with the bassist Linda May Han Oh (who was on the album) and the drummer Rudy Royston.646-494-3625, jazzgallery.nyc

ART BLAKEY CENTENNIAL CELEBRATION at Dizzys Club (Oct. 7-12, 7:30 and 9:30 p.m.). Blakey is remembered equally for the thunderous power of his drumming and for his influence on future generations; for over three decades, his Jazz Messengers remained a proving ground for premier young musicians. In recognition of what would have been Blakeys 100th birthday on Oct. 11, Jazz at Lincoln Center has assembled a six-night celebration of his legacy, starting on Monday with a performance by the drummer and Jazz Messengers alum Ralph Peterson, who now pays Blakeys legacy forward as the leader of his own Gen-Next Big Band. On Tuesday and Wednesday, the all-star sextet One for All will play a selection of tunes from the Messengers songbook, and for the remaining nights the trumpeter Valery Ponomarev, a veteran of the Messengers, will lead tributes to Blakey (with his Our Father Who Art Blakey Big Band on Oct. 10, and then in a smaller group on Oct. 11 and 12).212-258-9595, jazz.org/dizzys

FLY at the Village Vanguard (Oct. 8-13, 8:30 and 10:30 p.m.). The early 2000s were lean years on the New York jazz scene, but this trio marked a bright spot. Most groups with their instrumentation tenor saxophone, bass and drums would clearly spotlight the horn player, but Fly followed something like the model set in the late 1950s and early 60s by Bill Evanss piano trio and the Jimmy Giuffre 3, in which each band member played an equally liberated role, and the entire group thrived between a low and medium boil. The tenor saxophonist Mark Turner, the bassist Larry Grenadier and the drummer Jeff Ballard, all in their 50s, lead busy careers outside of Fly these days, but the band returns occasionally to the Vanguard, an old stomping ground.212-255-4037, villagevanguard.com

SULLIVAN FORTNER TRIO at Jazz Standard (Oct. 3-6, 7:30 and 9:30 p.m.). At just 32, this dazzling New Orleanian pianist has already been handsomely decorated: Hes won the Leonore Annenberg Arts Fellowship, the American Pianists Associations 2015 Cole Porter Fellowship and the 2016 Lincoln Center Award for Emerging Artists. And hes caught the ears of many elder musicians. Here he performs with the bassist John Patitucci and the drummer Nasheet Waits, both a generation above him and among jazzs most respected rhythm-section players.212-576-2232, jazzstandard.com

ROBERT GLASPER at the Blue Note (Oct. 3-Nov. 3, 8 and 10:30 p.m.). Probably the most influential pianist and keyboardist of the past 20 years, Glasper has set himself a goal: to make blues tradition-based, improvised music thats easy for the average listener to love. If it werent already clear that hes succeeding, take as evidence the fact that hes been invited back to the Blue Note for a rare monthlong residency, for the second year in a row. He will perform with the rapper and singer Yasiin Bey from Thursday to Sunday, his acoustic trio from Tuesday to Oct. 13, and the bassist and vocalist Esperanza Spalding on Oct. 15 and 16, among other guests. Throughout the residency Glasper will perform six days a week, taking Monday evenings off.212-475-8592, bluenote.net

THANDISWA MAZWAI at the Schomburg Center (Oct. 8, 7 p.m.). One of the most famous musicians in South Africa, Mazwai jump-started her career as a vocalist for the band Bongo Maffin, which helped pioneer kwaito, a genre of South African house music. Since then she has established herself as a belter of clatteringly rhythmic, galvanizing songs about love, resistance and African identity (typically sung in Xhosa) as well as a thrilling bandleader. This concert is presented in partnership with Carnegie Hall Citywide.212-491-2040, schomburgcenter.orgGIOVANNI RUSSONELLO

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12 Pop, Rock and Jazz Concerts to Check Out in N.Y.C. This Weekend - The New York Times