Integral Quadratic Lattices: Properties and Adeles

Related lectures (32)

Page 2 of 4

Explores quadratic forms, symmetric bilinear forms, and their properties.

Explores the properties of commutative rings and integral domains in algebra.

Explores division rings, integral domains, fields, and ideals in rings, with examples and key theorems.

Explores symmetric matrices, diagonalization, and quadratic forms properties.

Explores examples of algebraic quotients using invariance maps and discriminant.

Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.

Covers the ring of polynomials, focusing on coefficients and multiplication.

Covers optimization methods without constraints, including gradient and line search in the quadratic case.

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

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.