Hermitian Spaces: Theory and Applications

Related lectures (31)

Page 2 of 4

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

Explores the classification of quadratic forms based on eigenvalues and orthogonal diagonalization of symmetric matrices.

Covers the definition of quadratic forms in R^n with examples in R^2 and R^3.

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

Explores integral representations, quadratic lattices, and the Hasse Principle.

Explores examples of algebraic quotients using invariance maps and discriminant.

Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.

Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.

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

Explores Lagrange interpolation, emphasizing uniqueness and simplicity in reconstructing functions from limited values.