Symmetries, CM points and modular curves

Speaker:

Bernhard Heim

Affiliation:

GUtech, Oman

Date:

Tue, 02/02/2016 - 11:15 - 12:15

Location:

MPIM Lecture Hall [2]

Parent event:

Number theory lunch seminar [3]

The Andre-Oort conjecture and Borcherds products are related by symmetries.
The characterization of Borcherds products by symmetries had been recently discovered and proven
by A. Murase and the author.
Infinitely many symmetries indexed by all prime numbers have to be considered. In this talk we report
on recent results with C. Kaiser on connecting the symmetries with the Andre-Oort conjecture and
characterizing modular curves with already one symmetry in $\C^2$ for an arbitrary chosen prime number.