Number Theory Seminar
Álvaro Lozano-Robledo
University of Connecticut
$\ell$-adic Galois representations attached to elliptic curves with CM
Abstract: In a recent preprint, Rouse, Sutherland, and Zureick-Brown have given a
(conjectural) explicit classification of all the $\ell$-adic Galois
representations (up to conjugation) attached to elliptic curves over
$\mathbb{Q}$ without complex multiplication. In this talk, we apply a
recent classification (by the speaker) of Galois representations attached
to curves with CM to give a complete and explicit classification of all
the $\ell$-adic Galois representations in the CM case over $\mathbb{Q}$.
In particular, we will describe how many different representations appear
for each rational j-invariant with CM.
Zoom link:
https://uic.zoom.us/j/88173268700?pwd=aEhmTGpSOVhidWE4L1VWUnNhNVlvUT09
Meeting ID: 881 7326 8700
Passcode: 0t198j41
Friday March 11, 2022 at 1:00 PM in Zoom