Algebraische Zahlentheorie II

Dies ist die Homepage für die Vorlesung Algebraische Zahlentheorie II im Wintersemester 2019-2020 in Mainz.

Dozent: Ariyan Javanpeykar

Vorlesung:

Mittwoch 10h-12h, 04-422

Donnerstag 10h-12h, 04-422.

Literatur

  1. Neukirch, Algebraische Zahlentheorie    [Neu]
  2. Sharifi, Algebraic Number Theory [Sha]. Available online. Click here
  3. Samuel, Theorie algebrique des nombres
  4. Ireland, Rosen. A classical introduction to modern number theory.
  5. Jarvis, Algebraic Number Theory
  6. Lang, Algebraic number theory.
  7. Stewart and Tall, Algebraic Number Theory and Fermat’s Last Theorem.
  8. Weil, basic number theory.

 

Hausaufgaben

You are required to hand in homework by yourself. This will help you understand the material and follow the course as well as possible. I will personally e-mail you corrections and comments on your homework that should help you improve your writing, and also your understanding of the course material.

I recommend you write your solutions in LateX. This will increase the quality of your homework, and it's a great way to practice writing mathematics with LateX. To use LateX, download MikTeX and an editor (like TeXmaker or TeXworks). A good tutorial for using LateX can be found under this link.

I prefer you e-mail me your homework solutions. You can of course also just give them to me.

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TAKE HOME EXAM:

Plan der Vorlesung  

Themen der Vorlesung 

  • Minkowski's Geometry of Numbers
  • Dirichlet's unit theorem
  • Finiteness of class number
  • The different ideal
  • Hermite-Minkowski's finiteness theorem