An analog of a theorem of Manin for the p-primary torsion of certain Abelian 3-folds

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Event details

Date 25.10.2023
Hour 10:1512:00
Speaker Dinakar Ramakrishnan (Caltech)
Location
Category Conferences - Seminars
Event Language English

Given any elliptic curve E over a number field k, Manin showed (about 50 years ago) that for any prime p, the p-primary torsion of E(k) is bounded uniformly for all E/k. He also showed the uniform irreducibility of the associated p-adic Galois representation modulo p^r for r uniform in E if E does not have CM. In this lecture, we will discuss an analog proven with Mladen Dimitrov for abelian 3-folds with multiplication by an imaginary quadratic field. This lecture will have two parts with a break between them. The first part will be introductory..
 

Practical information

  • Informed public
  • Free

Organizer

  • Philippe Michel

Contact

  • Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)

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