Lecture 1, 08.09.2021, Introduction: the first case of Fermat's Last Theorem, units in cyclotomic rings, regularity of primes
(note: the first lecture was in Russian).
Lecture 2, 15.09.2021, A brief reminder on Galois theory, structure of finite fields, Hilbert's Theorem 90.
Lecture 3, 22.09.2021, Quadratic reciprocity law, p-adic numbers, Ostrowski's theorem, Hensel's lemma.
Lecture 4, 29.09.2021, Ring of integers, unique factorization of ideals, fractional ideals, Dedekind rings.
Lecture 5, 06.10.2021, Norms of ideals, discriminants, ideal class groups, Minkowski's bound
