Universität Regensburg   IMPRESSUM   DATENSCHUTZ
Fakultät für Mathematik Universität Regensburg

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Elliptic Curves
Semester
SoSe 2020

Lecturer
Walter Gubler

Type of course (Veranstaltungsart)
Seminar

Contents
This seminar aims at an introduction to the geometry of elliptic curves. They are projective group
varieties of dimension 1 and they can be described explicitly as a plane curve of degree 3. They are
basic objects for some of the most challenging problems in mathematics like the Fermat conjecture
and the Birch-Swinnerton-Dyer conjecture. We will describe the group structure, study homomorphisms,
introduce the Tate module and the Weil pairing.

Literature
J. Silverman: The arithmetic of ellliptic curvers

Recommended previous knowledge
Algebraic Geometry I (classical language is enough)

Time/Date
Do: 12-14

Location
M103

Registration
  • Organisational meeting/distribution of topics: 12:00 on Thursday 6.2.2020 in M102 or
    email walter.gubler@mathematik.uni-regensburg.de
  • Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)
  • Presentation: Giving a seminar talk of roughly 90 minutes
Examination (Prüfungsleistungen)
  • Detailed written report of the seminar talk
Modules
BSem, MV, MSem

ECTS
Siehe Modulkatalog. MV und Nebenfach: 4,5 LP bei Studienbeginn ab WS 15/16, 6 LP bei Studienbeginn
vor WS 15/16