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Livschitz Niklas: Class Field Theory as motivated by Kronecker-Weber

Tid: Ti 2018-01-23 kl 10.30 - 11.30

Plats: Room 22, House 5, Kräftriket, Department of Mathematics, Stockholm University

Respondent: Livschitz Niklas (BSc student)

Handledare: Wushi Goldring

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Abstract: This is a brief introduction to algebraic number theory directed towards class field theory. The first part covers basic definitions and invariants, such as integral closures, norms, traces and discriminants. The second part deals with the Hilbert ramification theory with a proof of quadratic reciprocity given as an application. The final part covers the basic theorems of class field theory, and applies them to prove the Kronecker-Weber theorem.