Did the dealer's people actually do anything or just try to reproduce the problem?
Here's a couple of things I would try that requires very little work. Although I doubt this is a fuel problem, try opening your gas cap after it dies. Do you get a sucking sound like a vacuum breaking? That would be the vent hose pinched (look way up under the right front of the gas tank and you will see a small hose attached to the tank). Another fuel issue could be the petcock screens (in the tank) being blocked but I doubt that.
Check your battery connections. You will have to remove the faux air cleaner on the left side (chrome cheese grater looking thing) and then remove the plastic piece underneath. This is my main suspect.
Check your fuses, pull and re-seat each of them. Is there any white crap on the blades? Fuses and sockets need to be cleaned.
When she dies, does the headlight, all turn signals, dash lights, work? If so, I would check the sidestand switch. If not, maybe the red cutoff switch is malfunctioning.
Will she crank and not start or does it not crank at all?
These are off the top. Let us know....