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Online: Primes of cyclic reduction for elliptic curves

Posted in
Speaker: 
Peter Stevenhagen
Affiliation: 
Leiden University
Date: 
Wed, 2020-09-30 14:30 - 15:30
Parent event: 
Number theory lunch seminar

Zoom Online Meeting ID: 919 6497 4060
For password see the email or contact Pieter Moree (moree@mpim...).

For an elliptic curve E defined over a number field K, we consider the set $S_{E/K}$ of primes of K for which the point group of the reduction of E modulo the prime is cyclic.
We explain why this set should have a density, what the problem is in proving that this is actually the case, and how one may actually compute it. The answer depends on whether E has CM or not.

This is joint work with Francesco Campagna.

 

 

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