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The arithmetic fundamental lemma (AFL) is a conjectural identity relating the arithmetic intersection numbers on a Rapoport-Zink space for unitary groups to the first derivative of relative orbital integral on the general linear groups over a p-adic field F. The AFL was proved in the case F=Q_p about one year ago. In this talk I will report a work in progress joint with A. Mihatsch to prove the AFL for a general p-adic field.
Chen-Ying Chiou, born in 1911, was a famous scholar and educator in China. Chen-Ying Chiou Fund was established by Prof. Shing-Tung Yau in Morningside Center of Mathematics to support academic lectures and research of distinguished mathematicians and scientists in world-class level.
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