Dynamics on Homogeneous Spaces and Interactions with Number Theory

Related lectures (36)

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

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

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.

Explores symmetric matrices, quadratic forms, diagonalization, and definiteness with examples and calculations.

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

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

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

Explores residue fields, quadratic forms, discriminants, and Dedekind recipes in algebraic number theory.

Covers the classification of compact p-adic manifolds using the C.o.V-formula and explores smooth algebraic varieties and Hensel's lemma.

Explores the Rank Theorem in linear algebra, covering matrix properties and determinants.

Covers advanced topics in rotational dynamics, including gyroscopic effects and solid body dynamics, with practical exercises and announcements.

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.

Explores the Lorentz covariant formulation of Newtonian mechanics, including 4-vectors and relativistic Newton's second law.

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