Browsing by Keyword "p-adic Hodge theory"

Now showing items 1-4 of 4

    • Absolute Hodge Cycles in Prismatic Cohomology 

      Nie, Tian (2021-09-09)
      In this thesis we construct the notion of absolute Hodge cycles in prismatic cohomology for abelian schemes. We show that they are compatible with their de Rham and p-adic components under comparison isomorphisms.

    • Arithmetic properties of local systems on algebraic varieties 

      Petrov, Alexander (2022-04-25)
      The first main result of this dissertation is a statement about the ubiquity of de Rham local systems on algebraic varieties over $p$-adic fields. If $\mathbb{L}$ is a geometrically irreducible $\overline{\mathbb{Q}}_p$-local ...

    • Laurent F-crystals and Lubin-Tate (φ_q, Γ)-modules 

      Marks, Samuel (2023-05-15)
      Let $L/\Q_p$ be a finite extension. We introduce \textit{$L$-typical prisms}, a mild generalization of prisms. Following ideas of Bhatt, Scholze, and Wu, we show that certain vector bundles, called Laurent $F$-crystals, ...

    • Moduli of Galois Representations 

      Wang Erickson, Carl William (2013-09-25)
      The theme of this thesis is the study of moduli stacks of representations of an associative algebra, with an eye toward continuous representations of profinite groups such as Galois groups. The central object of study is ...