Acquire methods and techniques of modern algebraic theory of numbers through classic problems initiated by Fermat, Euler, Lagrange, Dedekind, Gauss, Kronecker
teacher profile teaching materials
Unique factorisation of ideals in the rings of integers.
Class group.
Group of units.
Local fields.
Marcus, D. Number fields, 3rd Ed Springer-Verlag. 1977.
Samuel, P. Théorie algébrique des nombres, Hermann, Paris. 1971.
Schoof, R. Algebraic Number Theory, dispense Università di Roma Tor Vergata, 2003.
Milne, J. Algebraic Number Theory, Lecture Notes, 2017.
Fruizione: 20410520 AL420 - TEORIA ALGEBRICA DEI NUMERI in Matematica LM-40 BARROERO FABRIZIO
Programme
Ring of integers in number fields.Unique factorisation of ideals in the rings of integers.
Class group.
Group of units.
Local fields.
Core Documentation
Notes by the lecturer.Marcus, D. Number fields, 3rd Ed Springer-Verlag. 1977.
Samuel, P. Théorie algébrique des nombres, Hermann, Paris. 1971.
Schoof, R. Algebraic Number Theory, dispense Università di Roma Tor Vergata, 2003.
Milne, J. Algebraic Number Theory, Lecture Notes, 2017.
Type of delivery of the course
Lectures in class on blackboard and exercise classes Link Moodle:https://matematicafisica.el.uniroma3.it/course/view.php?id=20Type of evaluation
The exam will consist of an oral test in which the learning of the course program and the ability to solve exercises will be verified.