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Analytic representations of p-adic Lie groups: a geometric perspective


開催時期 2013-08-16 16:00~2013-08-16 17:00

場所 九州大学 伊都キャンパス 数理学研究教育棟/マス・フォア・インダストリ研究所3F 中セミナー室7

受講対象  

講師 Matthias Strauch (Indiana University)

アブストラクト : This talk is about locally analytic representations of p-adic reductive groups. We will begin by explaining their significance in the emerging p-adic Langlands program. These representations encompass the smooth representations and they are closely related to Lie algebra representations. For the latter there is a well-known localization theory due to Beilinson-Bernstein and Brylinski-Kashiwara. And for smooth representations P. Schneider and U. Stuhler have developed a localization theory. After briefly reviewing these constructions we will explain a simultaneous generalization of these theories for locally analytic representations.