LONDON, Jan 25 Trade will dominate the first talks between the new leaders of the United States and Britain this week, with both hoping commitments to a future deal will redefine their ‘special relationship’ in a new world order. For British Prime Minister Theresa May – who will be the first foreign leader to meet new U.S. President Donald Trump – even a simple promise to deepen trade ties between the two countries could strengthen her hand in divorce talks with the European Union.