| 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. This is an online lecture through Zoom and Tencent Meeting. Zoom: ID：392 232 6206 Password：mcm2064 Download Zoom or enter the meeting room by: https://zoom.com.cn/j/3922326206?pwd=V0ovOVhaOTBuZnJLcHpsZTl1MGxHdz09 Tencent Meeting: ID：842 212 480 Password：206409 Download Tencent Meeting or enter the meeting room by: https://meeting.tencent.com/s/etxR9ZnRMBVA or watch live (can’t ask questions) by: https://meeting.tencent.com/l/xYL1jC0T9SP2
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