Conference abstracts

Session S13 - Number Theory

July 25, 17:30 ~ 18:00

## Heegner point constructions

### Daniel Kohen

### Universidad de Buenos Aires- IMAS, Argentina - kohendaniel@gmail.com

In this talk we will show how to construct certain special points on rational elliptic curves in situations where the so-called "Heegner hypothesis" does not hold. More concretely, given a rational elliptic curve with conductor divisible by the square of a prime p, we show how to construct points associated to an imaginary quadratic field K regardless of the factorization of p in K.

Joint work with Ariel Pacetti (Universidad de Buenos Aires-Warwick).