The stove top is easily one of the most dangerous places in the kitchen. It's where grease fires begin, where the gas gets left on, and where little hands make contact with very hot surfaces.
First, the most obvious: No flame means no grease fires, and no gas means no gas leaks.
But the induction cooktop has another safety feature: It typically doesn't get all that hot, since the heat is created in the pan itself. This means it would be far less likely for the cooktop to cause a burn. What's more, the pan's response to a turn of the dial is practically immediate, so as soon as you turn off the heat, the pan cools down. This makes it a lot more difficult to burn yourself as you pour your sautéed vegetables onto a serving plate.
It makes it easier to get those vegetables just right, too ...