“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.