时间：2018年6月6日（周三）16:30—17:30

地点：南楼913

报告人：Nicolas Templier (Cornell University)

题目：On the Ramanujan conjecture for automorphic forms over function fields

摘要：

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.