Incoming video data will be in some format such as H.264. This raw data has to be loaded into memory, something only the processor can know to do based on programming. Once the data is in memory it has to be decoded into the data for each pixel in the display along with the embedded audio and all that stuff.
To further complicate things, your television also has an Arm CPU and GPU in all likelihood if it is an LCD HD TV with an HDMI input. So it will also process the incoming video signal which will again be encoded for HDCP transmission via the HDMI interface. It's programming will be more visual centric and deal with the backlight, local dimming, tru-motion and all the other features you hear about with LCD TVs.
Pretty rough overview, but there is plenty of reading out there if you want to know more about video processing.