Concept

Valuation (algebra)

Related lectures (32)

Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.

Covers the extension of fields, defining the norm of an element from one field to another, and introducing the p-adic valuation.

Local Noetherian Rings

Covers local Noetherian rings, integrally closed domains, discrete valuations, and fraction fields.

DVR and Irreducible Plane Curves

Explores Discrete Valuation Rings and their role in irreducible plane curves.

P-adic Expansion and Hensel's Lemma

Covers the p-adic expansion theorem and Hensel's Lemma in Qp.

Pitching & Negotiating for Capital

Explores pitching and negotiating for capital, focusing on necessity, quality, and leadership in task breakdown, roadmap building, and aligning tasks for successful product delivery and finance.

Real Estate Investment: Valuation and Analysis

Explores real estate investment valuation, construction costs, and property pricing factors.

Competitiveness of the 'Factory of the World'

Explores China's competitiveness as the 'Factory of the World' and recent developments in its economy and stock market.

Hermite-Minkowski Theorems: Number Fields and Ideal Classes

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

Galois Theory: Dedekind Rings

Explores Galois theory with a focus on Dedekind rings and their unique factorization of fractional ideals.

Discrete Valuation Rings

Explores discrete valuation rings, their properties, uniqueness of representation, and relationship with principal ideal domains.

Polynomes: Irreducible Polynomials and Gaussian Lemma

Introduces irreducible polynomials and the Gaussian lemma for polynomial factorization.

Ramification and Structure of Finite Extensions

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

Start-ups: Practical Business Law

Explores practical business law for start-ups, covering examination, role-playing games, investment agreements, and employee stock options.

Real Estate Valuation: Prob2&3

Covers real estate valuation concepts including inflation rate, discount rate, and capitalization rate.

Algebraic Closure of Qp

Covers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.

Real Estate Economics: Cost of Ownership vs. Renting

Covers the economic principles of real estate, focusing on ownership costs versus renting and the concept of opportunity cost.

Valuation of Impacts and Resources

Explores translating preferences into money, using WTP and WTA, revealed and stated preferences, and methods like travel cost and hedonic price.

Polynomials: Theory and Operations

Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.

Rapid Decay of Whittaker Functions

Covers the rapid decay of Whittaker functions for upsets, focusing on the assumption of Vize = 1.