To Britain it's the Falklands, to Argentina the Malvinas and 30 years ago, the two countries went to war over these islands in the South Atlantic.
Jan Cheek is one of the leaders of the 3000 islanders who are about to be asked to vote on whether there should be negotiations with Argentina. She says Argentina is looking for "one outcome" from the talks.
You can watch this programme on BBC World at 0430, 0930, 1530, 2130 on Wednesday 12th December 2012 and on BBC News Channel at 0030 GMT on Thursday 13th December 2012.
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