Title of the course: Quadratic reciprocity
Instructor: Dr. Stefano Sannella
Institution: –
Dates: 27-31 July 2020
Prerequisites: I will assume familiarity with basic algebra courses at undergraduate level (for example ring theory and linear alagebra). Some knowledge of theory of fields will help following the course more smoothly, but it is not strictly essential, as we aim to make the course self-contained.
Level: Graduate, advanced undergraduate, beginning undergraduate
Abstract: We want to cover basic results of theory of fields (finite fields, field extensions, splitting fields of polynomials) to prove the law of quadratic reciprocity and other related results. This theorem is a crucial result in number theory – due to Gauss – to determine if a quadratic equation x^2=n (mod p) has a solution.
Language: EN