本年度に終了したセミナーを随時追加いたします。

(Current Year Archive: Updated as seminars conclude ) 

日時 ：  2026年4月24日（金）16:00～17:00

場所 ：  大岡山本館 M-110 講義室 （ハイブリッド開催）

講演者 ：  Ahmed Abbes 氏  (CNRS, IHES & FJ-LMI) 

題名 ：  Twisting Higgs modules and functoriality of the p-adic Simpson correspondence 

要旨 ：  The classical Simpson correspondence describes complex linear representations of the fundamental group of a smooth complex projective variety in terms of linear algebra objects, namely Higgs bundles. Inspired by this, Faltings initiated in 2005 a p-adic analogue, aiming to understand continuous p-adic representations of the geometric fundamental group of a smooth projective variety over a p-adic local field. I will present a joint work with M. Gros and T. Tsuji, aimed at building a robust framework for a broader functoriality of the p-adic correspondence. We introduce a new method for twisting Higgs modules using Higgs-Tate algebras. This construction is inspired by our earlier joint approach with M. Gros to the p-adic Simpson correspondence, which it encompasses as a special case. The resulting framework provides twisted pullbacks and higher direct images of Higgs modules, allowing us to study the functoriality of the p-adic Simpson correspondence under arbitrary pullbacks and proper (log)smooth direct images by morphisms that do not necessarily lift to the infinitesimal deformations of the varieties chosen to construct the p-adic Simpson correspondence. In addition, we clarify how this new twisting relates to recent constructions involving line bundles on the spectral variety.