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Algebraic Number Theory II

Prof. Dr. Matthias Schütt
M.Sc.-Math. Roberto Laface
Lectures

Mondays
14:00 - 16:00
(A310)

Thurdays
14:00 - 16:00
(G117)        

Exercise Sessions

Mondays
12:00 - 14:00
(G117)
Syllabus
  • Extensions of Dedekind domains
  • Ramification theory of ideals
  • Localization
  • Orders
  • p-adic numbers and p-adic absolute value
  • Valuations and Completions
  • Local fields
  • Henselian fields
  • Unramified and tamely ramified extensions
  • Extension of valuations
  • Galois theory of valuations
  • Introduction to Riemann-Roch theory

Exercises & additional material