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中科院数学与系统科学研究院

数学研究所

 

数论研讨班

 

报告人 Nicolas TemplierCornell University

 On the Ramanujan conjecture for automorphic forms over function fields

  2018.06.06(星期三),16:30-17:30

  点:数学院南楼N913

 要:Let G be a reductive group over a function field of large enough characteristic. We prove the temperedness at unramified places of automorphic representations of G, subject to a local assumption at one place, stronger than supercuspidality. Such an assumption is necessary, as was first shown by Saito-Kurokawa and Howe-Piatetskii-Shapiro in the 70's. Our method relies on the l-adic geometry of Bun_G, and on trace formulas. Work with Will Sawin.

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