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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)

 Arithmetic fundamental lemma in the minuscule case

  2017.06.15(星期四),11:00-12:00

  点:晨兴610

 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.

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