Teoria Álgebrica dos Números - Aula 11

Explore the eleventh lecture in a master's level course on Algebraic Number Theory, delivered in Portuguese by Professor Hossein Movasati at IMPA (Instituto de Matemática Pura e Aplicada). Review fundamental concepts covered in the previous ten lectures, including algebraic integers, rings of algebraic integers in number fields, bases and discriminants, ideals and prime ideals, class groups and their finiteness, unique factorization, prime ideals, ideal norms, discriminants, different and ramification, fundamental equality, quadratic fields and quadratic reciprocity law, cyclotomic fields, Dirichlet's unit theorem, and zeta functions and L-series of number fields with the analytic class number formula. Draw from authoritative texts by Borevich & Shafarevich, Endler, Ribenboim, and Samuel while engaging with advanced mathematical concepts in this 83-minute comprehensive review session from the Summer School 2025 series.