【ハイブリッド開催】東工大数論・幾何学セミナー： Aprameyo Pal 氏

参加のお申し込み: ※参加登録不要です。ミーティングのURL・番号等は開始30分前に下記のページに掲載します。
The Zoom URL will be announced in the page below 30 minutes before the start of the lecture.
http://www.math.titech.ac.jp/~purkait/AGS/AGSeminarTIT.html#present

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If you are going to participate face-to-face on the day, please fill in the participant list at the venue.

講演タイトル: p–adic Galois representations and multivariable (φ, Γ)-modules
アブストラクト: A main goal of algebraic number theory is to understand continuous Galois representations of GQ = Gal(Q/Q). The study of these “Global” Galois representations is a fundamentally hard problem and an often simpler approach is to first study continuous "local" Galois representations of GQp = Gal(Qp/Qp). There is a very useful classification of p-adic representations of GQp (due to Fontaine) in terms of simpler objects of (semi)linear algebra, the so-called étale (φ, Γ)-modules. The (φ, Γ)-modules have found tremendous applications to the p-adic Langlands correspondence for GL2(Qp). Conjecturally multivariable (φ, Γ)-modules contribute to the p-adic Langlands correspondence for GLn(Qp) with n > 2. In this talk, I will introduce the multivariable (φ, Γ)-modules, explain how these classify Galois representations of direct power of GQp, and compute the Galois cohomology with some possible applications.

更新日：2022.07.27

【ハイブリッド開催】東工大 数論・幾何学セミナー： Aprameyo Pal 氏