### Exceptional isogenies between elliptic curves

- Series
- Algebra Seminar
- Time
- Monday, November 3, 2014 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- François Charles – MIT and Paris-Sud

We will discuss a proof of the following result: if E and E' are two elliptic curves over a number field, there exist infinitely many places p of k such that the reduction of E and E' modulo p are isogenous. We will explain the relationship with the dynamics of Hecke correspondences on modular curves and the heuristics behind such results.