Quadratic field

Related lectures (30)

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.

Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.

Explains magnetic induction, force on a dipole, torque, and applications in macroscopic systems.

Explores examples of algebraic quotients using invariance maps and discriminant.

Explores the Gaussian Discriminant Rule for classification using Gaussian Mixture Models and discusses drawing boundaries and model complexity.

Explores the joint equidistribution of CM points for cubic fields, emphasizing periodic orbits and quadratic algebraic forms.

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

Explores decomposition groups, inertia subgroups, Galois theory, unramified primes, and cyclotomic fields in group actions and field extensions.

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