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SEMINARIO DOTTORATO: Elliptic curves, an introduction and beyond

Wednesday 29 May 2013 h. 15:00 - Room 2BC30 - Renè Scheider

ARGOMENTI: Seminari Dottorato

SEMINARIO DOTTORATO
Wednesday 29 May 2013 h. 15:00, room 2BC30

Renè Scheider (Regensburg)
"Elliptic curves, an introduction and beyond"

Abstract
The talk provides a very elementary introduction to elliptic curves and their geometry, with the final aim of understanding the analytic geometry of the universal family with level N structure.
As a broad audience shall be addressed, only few and basic prerequisites are required.
In more detail, the plan is to cover the following topics:
We explain how elliptic curves over a general field are defined and introduce their group law as well as the Weil Pairing. We then outline how these algebraic data express analytically if we work over the field of complex numbers. After this we are prepared to construct the universal elliptic curve with level N structure as a complex manifold.

Rif. int. C. Marastoni, T. Vargiolu

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