中科院数学与系统科学研究院
数学研究所
学术报告会
报告人： Yihang Zhu(Harvard University)
题 目：Arithmetic fundamental lemma in the minuscule case
时 间：2017.06.15（星期四），11:00-12:00
地 点：晨兴610室
摘 要：The arithmetic fundamental lemma (AFL), formulated by Wei Zhang, is a key local ingredient in the relative trace formula approach to the arithmetic Gan-Gross-Prasad conjecture, which generalizes the famous Gross-Zagier formula. The AFL compares intersection numbers on Rapoport-Zink spaces with derivatives of orbital integrals. We compute the Rapoport-Zink space side in the AFL, under a minuscule assumption. In the unitary case our work recovers the proof of Rapoport-Terstiege-Zhang of the AFL; in the orthogonal case our computation is new, suggesting that a relative trace formula approach should also be possible. This is joint work with Chao Li.