Hermitian Spaces: Theory and Applications

Related lectures (31)

Page 3 of 4

Explores Sylvester's Inertia Theorem, relating eigenvalues to diagonal entries in symmetric matrices.

Explores interpolation spaces in Banach spaces, emphasizing real continuous interpolation spaces and the K-method.

Discusses quadratic forms, matrix diagonalization, and their applications in optimization problems.

Explores precision of higher order finite element models and applications of quadratic finite elements in elastodynamics.

Covers elliptical distributions, including properties, applications, and risk management implications.

Introduces the quadratic linking degree in motivic knot theory, covering knot theory basics, algebraic geometry, and intersection theory.

Explains the Principal Axes Theorem for symmetric matrices and quadratic forms, showing the existence of orthogonal matrices for diagonalization.

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.

Explores the precision of finite element models and higher order asymptotic estimates.

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