Teoria Álgebrica dos Números - Minkowski Theory and Lattices - Aula 09

Explore an advanced graduate-level mathematics lecture in Portuguese from the 2025 Summer School at IMPA focusing on Algebraic Number Theory. Delve into Minkowski theory and lattices as Professor Hossein Movasati covers algebraic integers, rings of algebraic integers of number fields, bases and discriminants, ideals, prime ideals, class groups, unique factorization, ideal norms, discriminants, different and ramification, fundamental equality, quadratic fields, quadratic reciprocity law, cyclotomic fields, Dirichlet's unit theorem, and zeta functions and L-series of number fields including the analytic class number formula. Drawing from renowned references like Borevich and Shafarevich's Number Theory and Endler's Teoria dos Números Algébricos, gain deep insights into this fundamental area of pure mathematics through this comprehensive 1 hour and 53 minute lecture.