**ODTÜ-B****Ý****LKENT
ALGEBRAIC GEOMETRY SEM****I****NAR**

**“****Idea of the moduli space of curves****”**

** **

by

**EMRE CAN SERTÖZ**

**(****HUMBOLDT UNIVERSITY****)**

**Abstract: **By considering Riemann surfaces from
several different angles, we will see that there are many seemingly different
ways to vary the complex structure on a surface, getting different Riemann
surfaces. So we can ask "What is the most natural way to vary Riemann
Surfaces?". This is what the moduli space construction answers, and we
will talk about it. Also we will see why we need some extra structure on the
moduli space besides the classical structures that come via a manifold (or a
scheme).

** **

**Date:** 17 May 2013, Friday

**Time:** 15.40

**Place:** Bilkent,
Mathematics Seminar Room SA-141

**Tea
and cookies will be served before the talk.**

**You are most cordially invited.**