• Beijing Algebraic Geometry Colloquium

      10th Meeting

      September 29, 2018

      Room A304, Dept. of Math, Tsinghua

      Algebraic Geometry Activities in China

    • Ahmed Abbes

      (CNRS & IHES)

      The p-adic Simpson correspondence

      14:00 - 15:00

      The p-adic Simpson correspondence, initiated by Gerd Faltings in 2005, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra - namely Higgs bundles. My lecture will be an introduction to this topic. I will focus on the approach that I developed with Michel Gros relying on a new family of period rings built from the torsor of deformations of the variety over a universal p-adic thickening defined by J.-M. Fontaine.

    • Daxin Xu 许大昕

      (Caltech)

      Generalized Kloosterman sheaves and their p-adic variants

      15:30 - 16:30

      I will first review the relationship between the classical Bessel equation and the classical Kloosterman sum. Such a relation can be regarded as an instance of the geometric Langlands correspondence for GL2. I will then explain the recent generalizations of this story for arbitrary reductive groups, based on the works by Frenkel-Gross, Heinloth-Ngo-Yun, and X. Zhu. In the end, I will discuss some joint work in progress with X. Zhu, where we study the p-adic aspect of this theory.

       

    • Organized by

      Baohua Fu CAS

      Lei Fu Tsinghua

      Xiaotao Sun CAS

      Zhiyu Tian PKU

      Qizheng Yin PKU

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