# Abelian varieties with good reduction everywhere

Speaker: Rene Schoof

Date: Thu, May 25, 2017

Location: PIMS, University of Calgary

Subject: Mathematics

Class: Scientific

### Abstract:

Over $Q$ there do not exist any non-zero abelian varieties with good reduction everywhere. However, over all but six real quadratic fields they actually do exist. In this talk we determine, for certain small real quadratic fields $F$, the set of abelian varieties over $F$ with good reduction everywhere.