Engine starts right up, but will not idle. Why ? The new battery is dead again,

Idle air control valve? Dead battery , voltage to low for proper signals/inputs to PCM? FULLY charge battery , NOT jump start, and see what happens..............

Charge and check battery... Then test alternator output... Run engine and let it relearn idle strategy... Scanner would help.... May need parasitic load test on battery. ... Guessing at all of this of course!!