Have you done the Throttle Position Sensor adjustment yet? If it's really low, like close to your idle, the bike will stall out like that. Here's the thread that everyone uses to learn how to do it:
http://forums.sv650.org/showthread.php?t=55459
It's not hard to do, but it can be frustrating. Adjusting that sensor is done in tenths of a mm. Seriously. It's really touchy.
Also, they aren't kidding on there about how soft the bolts are.
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