[folivier]

Depends on the inverter. One quick and dirty (emphasize dirty since you need to understand the implications, but may not make too big a difference if in storage) way is to change the ambient temperature of the battery to a set temp. The higher the lower the output, at least on mine.
But once your batteries are charged the charger should switch to float and charge at a much reduced rate. Really should only be a couple amps unless you're using stuff.
The typical charge cycle is bulk (high amps), absorb (amps decreasing while voltage rises), float (voltage kept at a 13 or so and amps kept low.)