Can I read Galois representations with big image in the general symplectic group $\operatorname{GSp} 4(\mathbb{Z} p)$ on EtoBox?

Galois representations with big image in the general symplectic group $\operatorname{GSp} 4(\mathbb{Z} p)$ by Maletto, Simone is a scholarly article available to read on EtoBox.

What is Galois representations with big image in the general symplectic group $\operatorname{GSp} 4(\mathbb{Z} p)$ about?

Let $p$ be an odd prime and $e_p$ be its irregularity index. If $4e_p+8 <\frac{p-1}{2}$ we construct a Galois representation with image in the diagonal torus of $\op{GSp}_4(\Fp)$ that lifts to a characteristic $0$ representation unramified at all primes $\ell\neq p$ with image containing a finite index subgroup of $\Symp$.

Author

Maletto, Simone

Published

2022

Language

EN