Language: English
The goal of the course is the study of system of polynomial equations via Galois theory and using Groebner bases.
Teaching style: In presence+computational sections with the use of symbolic computation packages.
I - Rings, ideals and modules. Noetherian rings and the Hilbert basis theorem. Polynomials: The ring K [x_1, ..., x_n] of polynomials with coefficientsin a field. Grobner Bases and the Buchberger algorithm. Systems of polynomial equations and elimination theory.
Computational Commutative Algebra, Kreuzer, Robbiano, Springer, 2004.
Ricevimento: To be decided later on when the general timetable will be fixed.
Ricevimento: Reception hours: before and after lessons, or upon request by email/Teams.
Ricevimento: By appointment
ALDO CONCA (President)
FRANCESCO VENEZIANO
ANNA MARIA BIGATTI (President Substitute)
EMANUELA DE NEGRI (President Substitute)
ALESSANDRO DE STEFANI (President Substitute)
MARIA EVELINA ROSSI (President Substitute)
MATTEO VARBARO (President Substitute)
The class will start according to the academic calendar.
BASICS OF HIGHER ALGEBRA
Oral and computer algebra project
