Seminario Teoría de Números
Inertia Types of Elliptic Curves over Qp²
Ponente: Jose Antonio Castro Moreno (ICMAT)Fecha: jueves 18 de septiembre de 2025 - 11:30Lugar: Aula 420, Módulo 17, Departamento de Matemáticas, UAM
Resumen:
Associated with an elliptic curve E defined over a finite extension K of Qp one can define the WeilDeligne representation ρ : W(K/K) → GL2(C). The isomorphism class of ρ restricted to the inertia subgroup is called the inertial type of E. These inertial types play an important role in several topics that range from Diophantine applications to a proposed generalization of Maeda’s conjecture by Dieulefait, Pacetti and Tsaknias. In a recent work, Dembélé-Freitas-Voight provided a complete classification and explicit description of all the possible inertial types for elliptic curves defined over Qp for all p. In this talk we will present a complete classification and description of the inertial types over quadratic unramified extension of Qp. This is joint work with Nuno Freitas.
