Ted Leo & the PharmacistsTompkins Square Park, Aug. 1For 30-plus years, the nonprofit arts collective ABC No Rio served as a haven for true independent culture (zines, silkscreening, hardcore shows and the like) on the Lower East Side. The latest is a matinee in Tompkins Square Park headlined by the hooky and ever-rousing Ted Leo and the Pharmacists and also featuring local DIY institution Shellshag, and up-and-comers Crush Fund, Cupid’s Nemesis and Providers. Cole makes a rare local appearance this month at Summer Thunder, the quintessential Williamsburg hang held on warm-weather Sundays in Union Pool’s backyard. Brooklyn Jazz FestivalLeFrak Center at Lakeside, Prospect ParkAug. 8Charlie Parker Jazz FestivalMarcus Garvey Park; Tompkins Square Park, Aug. 28–30Top-tier jazz comes to NYC parks in August, with two high-profile festivals bracketing the month, each an equally solid bet for diehards or newbies. First up is the debut of the Brooklyn Jazz Festival, a new daylong event at Prospect Park’s LeFrak Center.