442504 VO Topics from Number Theory (2019W)
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Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
Details
Language: English
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Wednesday
02.10.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
09.10.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
16.10.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
23.10.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
30.10.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
06.11.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
13.11.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
20.11.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
27.11.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
04.12.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
11.12.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
08.01.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
15.01.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
22.01.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
29.01.
11:30 - 13:00
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Information
Aims, contents and method of the course
Assessment and permitted materials
Oral exam
Minimum requirements and assessment criteria
To pass the oral exam
Examination topics
The content of the lecture course
Reading list
The following books are the primary references for the course (and also were the main reference for the first part of the course from last semester):Rosen, M.: "Number Theory in function fields"Stichtenoth, H.: "Algebraic function fields"Additional reference:Artin, E.: "Algebraic Numbers and Algebraic Functions"Lütkebohmert, W.: "Kodierungstheorie"One might also look at:Moreno, C.: "Algebraic curves over finite fields"
Association in the course directory
MALV
Last modified: Mo 07.09.2020 15:22
direct continuation of the course "Topics from number theory" from summer semester.2.) Subject of the course in summer semester were the basics of the
theory of function fields up to Riemann Roch Theorem.
In this semester we will continue the theory of function fields;
planned topics are- Extensions of function fields and the Riemann Hurwitz formula for the genus- The Zeta function of function fields- Geometric interpretation of function fields: algebraic curves- Introduction to Drinfeld modules- if time permits: Applications to Coding theory3.) The course will
assume basic knowledge of the theory of function fields e.g. as
they appeared in "Topics from number theory" from summer semester. Thus,
participants should have a look at
the course from summer semester or equally well at the books recommended in the reading list.