What are these wires for?
Those wires are connected into the backlight components of the LCD panel. On newer panels these may provide power to the LEDs that light the panel from the sides or rear. 

Other types of LCD panels used gas discharge type tubes to light the panel from along the edges. In that case the wires would be connecting into a high voltage power supply on the electronics part of the monitor. If the wires are small and have a silicone rubbery type of insulation then it is highly likely that these connect into the gas discharge tube type of backlight.