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BARACK OBAMA begins a trip to Asia on Thursday November 12th. A visit to Japan could prove to be frosty, even though the country is America's most important ally in the region, as the newly elected government has seemed unwilling to back American foreign policy, for example in Afghanistan. Mr Obama will also attend a summit of leaders from the Asia-Pacific region, the part of the world demonstrating the most robust economic growth. Most notable, the American president will spend four days in China, where talks may focus on international efforts to curb carbon emissions in the hope of limiting global climate change. Economic relations, in particular American concern about the weakness of the yuan, may also be discussed.