Definitions of register
to officially record or report something
The Asian stock exchanges have registered huge losses.
to put information about someone or something on an official list of people or things
An exclamation mark cannot be registered as a trademark, the European Court of First Instance has ruled.
to put your name and other information about yourself on an official list to show that you want to take part in a particular scheme or activity (eg voting)
Nearly 20 groups have registered their interest in taking part in the scheme.