Title of the course: Quadratic forms and arithmetic
Instructor: Dr. Erman Işık
Institution: University of Ottawa
Dates: 19-25 August 2024
Prerequisites: Linear Algebra, Abstract Algebra
Level: Advanced undergraduate, graduate
Abstract: In this course, we will study quadratic reciprocity law, p-adic fields, and Hilbert symbols considering the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem) as the main objective. The application will be the sum of three squares and solving certain Diophantine equations.
Language: TR, EN