electrostatics - Why don't charges build up on wires like plates of a capacitor?

Suppose you have a parallel plate capacitor and you want to charge it by using a battery. You will connect the plates with the two terminals of the battery. Now my book says that the charges will get accumulated on the plates of the capacitor. The amount of charge will be equal to the capacitance times the voltage of the battery. But what about the wires they are also on the same potential why don't charges accumulate on the wires? I have come across this many a times in capacitor circuits where wires don't get any charge, all the charges accumulate on the capacitors but I just don't understand why.