東京北京パリ数論幾何セミナー
Seminaire de Geometrie Arithmetique Paris-Pekin-Tokyo, 巴黎北京東京算術幾何討論班

毎月第2水曜  056号室
午後5時半から6時半 (パリが夏時間のとき)  午後6時から7時 (パリが冬時間のとき) 
インターネットで、東大数理とIHES とMorningside centerで双方向同時中継します。
2018年5月9日(水) 17時30分から

Sug Woo Shin (University of California, Berkeley)
Endoscopy and cohomology of U(n-1,1)

We apply the endoscopic classification of automorphic representations for inner forms of unitary groups to bound the growth of cohomology in congruence towers of locally symmetric spaces associated with U(n-1,1). Our bound is sharper than the bound predicted by Sarnak-Xue for general locally symmetric spaces. This is joint work with Simon Marshall.
2018年6月6日(水) 17時30分から

Nicolas Templier (Cornell University)
On the Ramanujan conjecture for automorphic forms over function fields

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.

オーガナイザー: 志甫 淳、辻 雄、斎藤 毅、 Ahmed Abbes (CNRS, IHES), Fabrice Orgogozo (CNRS, Ecole Polytechnique), 田 野 (Tian Ye), 田 一超(Tian Yichao, Morningside center, HIM Bonn)、 鄭 維哲(Zheng Weizhe, Morningside center)
終わったもの