Andrea Conti

activity

20242026

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math.NT2024

Lattices in rigid analytic representations

Andrea Conti, Emiliano Torti

For a profinite group $G$ and a rigid analytic space $X$ , we study when an $O_{X} (X)$ -linear representation $V$ of $G$ admits a lattice, i.e. an $\mathcal O_{\mathcal X(\mat…

math.NT2024

Lifting Galois representations via Kummer flags

Andrea Conti, Cyril Demarche, Mathieu Florence

Let $Γ$ be either i) the absolute Galois group of a local field $F$ , or ii) the topological fundamental group of a closed connected orientable surface of genus $g$ . In case i), ass…