“An Introduction to Elliptic Fibrations - Part II:
Mordell-Weil Group and Torsion Sections”
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
Place: Mathematics Seminar Room, SA – 141
Tea and cookies will be served before the seminar.