Academy of Mathematics and Systems Science, CAS Colloquia & Seminars | Speaker: | Xiao Jingwei,MIT | Inviter: | | Title: | Automorphic periods and relative trace formula | Time & Venue: | 2019.7.2 10:45-11:45 N202 | Abstract: | Automorphic periods are integrals of automorphic forms over a subgroup. Usually, these periods are related to some L values or Langlands functoriality. In this talk, we discuss these ideas in the language of spherical varieties following the conjecture of Sakellaridis and Venkatesh. We then discuss Jacquet’s relative trace formulas approach that is by far the most powerful tool to study these periods. | | | |