Seminar des SFB/TRR 326 GAUS Elliptic curves attached to abelian threefolds with imaginary multiplication
- Friday, 26 June 2026, 13:30
- INF 205, SR A & Livestream
- Dr. Pip A. Goodman (University of Barcelona)
Address
INF 205, SR A
Live-stream
Organizer
Dr. Alireza Shavali Kohshor
Event Type
Talk
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.