Fun Corps Fini: Decomposition and Roots

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Related lectures (27)

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Finite Degree Extensions

Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.

Norm Extension in Finite Fields

Covers the uniqueness of norm extension in finite fields and the construction of norms on finite extensions of Qp.

Numerical Analysis: Solving Linear Systems in Higher Dimensions

Covers numerical analysis and optimization, focusing on solving linear systems in higher dimensions using finite difference methods.

Integration of Simple Elements

Covers the integration of simple elements and limit expansions with examples.

Harmonic Forms: Main Theorem

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

QR Factorization: Least Squares System Resolution

Covers the QR factorization method applied to solving a system of linear equations in the least squares sense.

Galois Theory: Extensions and Residual Fields

Explores Galois theory, unramified primes, roots of polynomials, and finite residual extensions.

Galois Theory Fundamentals

Explores Galois theory fundamentals, including separable elements, decomposition fields, and Galois groups, emphasizing the importance of finite degree extensions and the structure of Galois extensions.

Linear Systems: Convergence and Methods

Explores linear systems, convergence, and solving methods with a focus on CPU time and memory requirements.

Multicorrelation Sequences and Primes

Explores multicorrelation sequences, primes, and their intricate connections in number theory and ergodic theory.