A projector includes a liquid crystal light valve to which first image data and second image data are alternately written and a polarization switching device that has a plurality of switching areas and switches a polarization state between a first polarization state and a second polarization state for each of the switching areas. A boundary position between a switching area that provides the first polarization state and a switching area that provides the second polarization state moves in synchronization with a boundary position between an area where the first image data is written and an area where the second image data is written.