Seminars & Colloquia Calendar
Quadratic Forms over Fields
Tamar Lichter - Rutgers University
Location: Hill GSL - 701
Date & time: Monday, 25 November 2019 at 3:10PM - 4:10PM
Abstract: A quadratic form is a homogeneous polynomial of degree two. Quadratic forms are concrete and easy to write down, and they have many interesting features. For example, quadratic forms can be used to detect whether certain algebras are isomorphic; one can study the orthogonal group of a quadratic form; and there is a useful way to pass from quadratic forms over Q to quadratic forms over the p-adic numbers and R. We'll discuss some of these features of quadratic forms, and then delve into some deeper theory by studying the Witt ring of a field F: a ring whose elements are (almost) quadratic forms over F.