Course "Algebraic Number Theory" M2R (fall 2022)

TD1-Algebraic extensions.pdf

Exercise sheet 1

Algebraic extensions

(solutions)

TD2-Splitting fields, normal, separable ext.pdf

Exercise sheet 2

Splitting fields, normal and separable extensions

(solutions)

TD3-Galois-extensions.pdf

Exercise sheet 3

Galois extensions

(solutions)

TD4-Galois theory.II.pdf

Exercise sheet 4

Trace, norm and solvability by radicals

(solutions)

TD5-Infinite Galois theory.pdf

Exercise sheet 5

Topological groups

(solutions)

TD6-discriminant.pdf

Exercise sheet 6

Rings of integers and discriminants

(solutions)

NOTA BENE: There will be a lecture on Thursday 10 November at the usual time in Room 1 on the ground floor of the Tour IRMA (opposite the Intitut Fourier).

TD7-number-fields-ramification.pdf

Exercise sheet 7

Ramification in number fields

(solutions)

TD8-absolute-values.pdf

Exercise sheet 8

Valued fields

(solutions)

TD9-p-adic-fields.pdf

Exercise sheet 9

p-adic numbers

(solutions)

TD10-extensions of p-adic fields.pdf

Exercise sheet 10

p-adic fields

(solutions)

TD10.part2-Hints-for-TD10-TD11.pdf

Complements to exercise sheets 10-11

(solutions)

TD11-p-adic Galois groups and heights.pdf

Exercise sheet 11

Miscellanea on p-adic fields and Weil height

(solutions)

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