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News:

The first lecture will be on Tuesday, April 11

 

Dates: Tuesday, 14:00 (c.t)  and Thursday, 10:00 (c.t.) in seminar room 10 (building E 2.4)


Lecturer: Prof. Dr. Gabriela Weitze-Schmithüsen

contact: weitze [at] math.uni-sb.de
office hours: please contact me by email or just check whether I am here (room 301, E 2.4)
 

Teaching Assistant: Manuel Kany

contact: kany [at] math.uni-sb.de
office hours: Any time (room 4.16, E2.4)
 

 

Topics:

Starting point in number theory is the study of solutions of equations over the integers possibly with several unknowns. This will lead us to the theory of number fields and their rings of integers.

In the lecture, we will cover in particular the following topics:

  • Rings of integers, Dedekind domains
  • Theory of ideals in Dedekind domains
  • Minkowski Theory
  • The Class Number and Dirichlet’s Unit Theorem 
  • Hilbert’s Ramification Theory
  • Cyclotomic Fields

Prerequisites:

The lecture "Algebra".


Literature:

 

  • S. I. Borevics, I. R. Safarevic: Zahlentheorie
  • H. Koch: Zahlentheorie
  • S. Lang: Algebraic Number Theory
  • J. Neukirch: Algebraische Zahlentheorie

 


Exercise Sheets:

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