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

**“****An Introduction to Elliptic Fibrations
- Part II: **

**Mordell****-Weil Group and Torsion Sections****”**

By

**DAVIDE CESARE VENIANI**

**(**Leibniz
University of Hanover**)**

**Abstract: **Given an elliptic surface, the set of
sections of its fibration forms a group called the Mordell-Weil group. After recalling the main concepts from part I, I
will expose the main properties of this group, with a special focus on torsion
sections. I will give two constructions on quartic
surfaces which appear naturally in the study of the enumerative geometry of
lines, where torsion sections play a prominent role. The talk will be aimed at
students who took a first course in algebraic geometry.

** **

**Date: ****Friday, March
13, 2015**

**Time: ****15.40**

**Place: ****Mathematics Seminar Room,
****SA – 141**

Tea and cookies will be served before the
seminar.