Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-40-19-K-6

Elliptic Functions and Elliptic Curves (2V, 3.0 LP)

Course Type

SWS	Type	Course Form	CP (Effort)	Presence-Time / Self-Study
2	V	Lecture	3.0 CP	28 h	62 h
(2V)			3.0 CP	28 h	62 h

Basedata

SWS	2V
CP, Effort	3.0 CP = 90 h
Position of the semester	1 Sem. irreg.
Level	[6] Master (General)
Language	[EN] English
Lecturers	Decker, Wolfram, Prof. Dr. (PROF \| DEPT: MAT) Zintl, Jörg, PD Dr. (EXT \| DEPT: MAT) + further Lecturers of the department Mathematics
Area of study	[MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State	[NORM] Active

Contents

elliptic functions, Weierstrass P-function,
complex tori,
plane geometry and geometric construction of a group structure,
elliptic curves,
modular forms, modular curves, and classification theory of elliptic curves.

Literature

W. Fischer, I. Lieb: Funktionentheorie,
G. Fischer: Ebene algebraische Kurven,
J .Silverman: The Arithmetic of Elliptic Curves.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Modules:

[MAT-10-1-M-2] Fundamentals of Mathematics (M, 28.0 LP)

Courses

Requirements for attendance (formal)

None

References to Course [MAT-40-19-K-6]

Module	Name	Context
[MAT-40-19-M-6]	Elliptic Functions and Elliptic Curves	P: Obligatory	2V, 3.0 LP
Course-Pool	Name
[MAT-40-2V-KPOOL-4]	Elective Courses Algebra, Geometry and Computeralgebra (2V, B.Sc.)