Lectures related to Local field

Monodromy Conjecture

Explores the Monodromy Conjecture, discussing its origins, implications, and conditions for convergence in mathematical contexts.

Local structure of totally disconnected locally compact groups II

Explores the local structure of totally disconnected locally compact groups, covering commensurated subgroups, completions, local automorphisms, and the quasi-centre.

Vertex Operator Algebras

Covers the basics of Vertex Operator Algebras, including normal ordering, fields, and product fields.

Statistical Models: Unitary Conformal Field Theories

Covers the connection between statistical models and unitary conformal field theories, focusing on critical points and the role of local fields.

Harmonic Forms: Main Theorem

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

Number Fields: Embeddings and Ideal Classes

Covers the embeddings of number fields and ideal classes with proofs and examples.

Logarithmic Embedding in Number Fields

Explores the properties and applications of logarithmic embeddings in number fields.

Hermite-Minkowski Theorems: Number Fields and Ideal Classes

Explores Hermite-Minkowski theorems in number fields and ideal classes.

Cardioid Source: Acoustic Radiation Modeling

Explores the modeling of acoustic radiation with a focus on the cardioid source using COMSOL Multiphysics.

Dedekind Function: Analytic Continuation and Euler Product Formula

Covers the Dedekind function, Euler product formula, series convergence, and analytic continuation of logarithmic functions.

Finite Element Method: Quadratic Elements

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

Embeddings of Number Fields

Explores embeddings of number fields, types, signatures, lattices, and determinants.

The Class Number Formula: Counting and Lipschitz Principle

Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.

Ramification Theory: Residual Fields and Discriminant Ideal

Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.

Algebra: Fundamental Theorem

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

Untitled

Residue Fields and Quadratic Forms

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

Ramification Theory: Dedekind Recipe

Explores ramification theory, residue fields, Galois extensions, and decomposition groups in algebraic number theory.

Ramification and Structure of Finite Extensions

Explores ramification and structure of finite extensions of Qp, including unramified extensions and Galois properties.