Dynamics on Homogeneous Spaces and Interactions with Number Theory

Related lectures (31)

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

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

Explores the theory of Hermitian spaces and their applications in quadratic forms and codimension 1 spaces.

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

Explores symmetric matrices, quadratic forms, and critical points in functions of two variables.

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

Covers the application of the Weingarten map on regular surfaces and the shape operator.

Covers the theory and applications of bilinear forms in various mathematical contexts.

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

Covers the definition of differential equations and their relation to functions and derivatives.