The pedestal is the central part of the cockpit between the two pilots, and usually comprises the throttles, flaps and trim controls, radio control units, weather radar, and various computer interfaces such as the Flight Management System (FMS).
This instrumentation is common to both pilots, even that found in the ceiling panel from where a multitude of systems can be controlled (cabin temperature, fuel, de-icing, air conditioning, electricity). Instrument distribution in a cockpit is not haphazard, but placed, in particular, according to their frequency of use.
If you would like more information concerning onboard cockpit instrumentation, watch this video: What are all those buttons for?