The arithmetic fundamental lemma for p-adic fields

Prof. Wei Zhang
2020-06-04 16:30 - 17:30
http://www.mcm.ac.cn/activities/programs/cycdl/202005/t20200529_562269.html

Speaker: Prof. Wei Zhang (MIT)

Title: The arithmetic fundamental lemma for p-adic fields

Date & Time: 9:00am – 10:30am, June 4, 2020 (Beijing Time)

Abstract: 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.