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Arthur packets for Mp(2n) and a multiplicity formula

组织者

刁晗生 , 杜衡 , 胡悦科 , Bin Xu , Yihang Zhu

演讲者

Wen-Wei Li

时间

2024年11月11日 10:00 至 11:00

地点

Shuangqing-C654

摘要

Let Mp(2n, F) be the metaplectic covering of the symplectic group Sp(2n, F) over a local field F of characteristic zero. The Arthur packets of genuine irreducible representations of Mp(2n, F) are defined in terms of endoscopic transfer from products of odd orthogonal groups. In the global setting, they give rise to a multiplicity formula for the discrete genuine automorphic spectrum of Mp(2n, A) à la Arthur, with an extra global root number. I will try to explain the global-to-local proof, which combines the stable trace formula for Mp(2n, A), the results of Gan and Ichino based on theta liftings, as well as the recent works of Luo and Liu-Lo-Shahidi. This is based on arXiv:2410.13606.