From the 1 of 4 linked papers with an AI index.
4 papers
Lattices in rigid analytic representations
Andrea Conti, Emiliano Torti
The paper investigates when a p‑adic representation of a profinite group on a rigid analytic space admits a lattice, proving existence under mild regularity assumptions and applyin…
Lifting Galois representations via Kummer flags
Andrea Conti, Cyril Demarche, Mathieu Florence
Let be either i) the absolute Galois group of a local field , or ii) the topological fundamental group of a closed connected orientable surface of genus . In case i), as…
-invariants and deep congruences between newforms
Andrea Conti, Peter Mathias Gräf
We study congruences modulo powers of a prime between pairs of -new modular Hecke eigenforms of level and same weight . Based on explicit computations, we conje…
Bogomolov property for Galois representations with big local image
Andrea Conti, Lea Terracini
An algebraic extension of the rational numbers is said to have the (B) if the absolute logarithmic Weil height of its non-torsion elements is uniforml…