Seminar des SFB/TRR 326 GAUS Elliptic curves attached to abelian threefolds with imaginary multiplication
- Freitag, 26. Juni 2026, 13:30 Uhr
- INF 205, SR A & Livestream
- Dr. Pip A. Goodman (University of Barcelona)
Adresse
INF 205, SR A
Livestream
Veranstalter
Dr. Alireza Shavali Kohshor
Veranstaltungstyp
Vortrag
Let A be an abelian threefold defined over a number field K whose endomorphism algebra is isomorphic to an imaginary quadratic field M. In recent joint work with Fité, we proved the existence of an elliptic curve E defined over K with CM by M such that for any prime ℓ, the twisted Tate module Vℓ(E)(1) is a sub representation of ∧3 Vℓ(A).
In this talk I will give an overview of the proof of the above result and present work in progress with Chidambaram and Fité where we provide explicit families of examples of the above phenomenon.