The CM class number one problem for genus-2 curves

Speaker:

Pinar Kilicer

Affiliation:

Leiden/MPIM

Date:

Wed, 04/05/2016 - 14:15 - 15:15

Location:

MPIM Lecture Hall [2]

Parent event:

Number theory lunch seminar [3]

The Gauss class number one problem for imaginary quadratic fields
is equivalent to finding all elliptic curves over the rationals with
complex multiplication.
I will explain the relation between the class number one problem and
the CM elliptic curves over the rationals. Then I will give the analogue of
the class number one problem for genus-2 CM curves and sketch its solution.
This is joint work with Marco Streng.