STNB2022 (35è any)

Hecke characters and $\mathbb{Q}$-curves in the modular method

Ponentes

Lucas Villagra Torcomian

Resumen

In this talk we will see how we can twist Galois representations coming from Frey $\mathbb{Q}$-curves defined over quadratic fields to extend to the absolute Galois group of $\mathbb{Q}$, and then follow the modular method. More concretely, we will focus on solutions of equations $x^4+dy^2=z^p$ and $x^2+dy^6=z^p$. This is based on works in collaboration with Ariel Pacetti.

Ficheros

Descargar presentación.

Volver al seminario

Idiomas: