中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
综合报告
报告人： 李奇芮 博士（University of Bonn）
题 目：The linear AFL for non-basic locus
时 间：2022.04.15（星期五），16:00-17:00
地 点：数学院南楼N204室 腾讯会议：534-879-577
摘 要：The Arithmetic Fundamental Lemma (AFL) is a local conjecture motivated by decomposing both sides of the Gross—Zagier Formula into local terms using the Relative Trace formula. For each of the local terms, one side is the intersection number in some Rappoport—Zink space. The other side is some orbital integral. Collaborated with Andreas Mihatsch., we consider the non-basic locus of Unitary Shimura varieties and conjectured a similar linear AFL for Rappoport Zink space parameterizing p-divisible groups with étale extensions. We proved that this version of linear AFL conjecture can be essentially reduced to the linear AFL conjecture for Lubin—Tate spaces, which parameterizes connected p-divisible groups.
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