Algebraic number theory

Modulus (algebraic number theory)

In mathematics, in the field of algebraic number theory, a modulus (plural moduli) (or cycle, or extended ideal) is a formal product of places of a global field (i.e. an algebraic number field or a global function field). It is used to encode ramification data for abelian extensions of a global field. (Wikipedia).

Video thumbnail

Integers modulo n

The integers modulo n under addition is a group. What are the integers mod n, though? In this video I take you step-by-step through the development of the integers mod 4 as an example. It is really easy to do and to understand.

From playlist Abstract algebra

Video thumbnail

Number theory Full Course [A to Z]

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio

From playlist Number Theory

Video thumbnail

Modulus of a product is the product of moduli

How to show that for all complex numbers the modulus of a product is the product of moduli. Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook

From playlist Intro to Complex Numbers

Video thumbnail

Working with Moduli and Arguments (Proof Question)

More resources available at www.misterwootube.com

From playlist Introduction to Complex Numbers

Video thumbnail

How to find the Modulos(Magnitude) of a Complex Number

How to find the Modulos(Magnitude) of a Complex Number Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys

From playlist Complex Numbers

Video thumbnail

Instability and stratifications of moduli problems in algebraic geometry - Daniel Halpern-Leistner

Daniel Halpern-Leistner Member, School of Mathematics September 23, 2014 More videos on http://video.ias.edu

From playlist Mathematics

Video thumbnail

Introduction to the Modulo Operator: a mod b with a positive

This video introduces a mod b when both a and b are positive. mathispower4u.com

From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)

Video thumbnail

solving a quadratic congruence but the modulus is NOT prime

Learn how to solve a quadratic congruence with a nonprime modulus. This is a fun math topic in number theory or discrete math! Check out an example if the module is prime: 👉https://youtu.be/cdnxOzTZRRY Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo 💪 Support this chan

From playlist Number Theory | math for fun

Video thumbnail

Dan-Virgil Voiculescu: Around the Quasicentral Modulus

Talk by Dan-Virgil Voiculescu in Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/tba-9/ on March 26, 2021.

From playlist Global Noncommutative Geometry Seminar (Americas)

Video thumbnail

The Absolute Value of a Complex Number

In this video we introduce the absolute value of a complex number. This is also called the modulos as the term absolute value is usually reserved for real numbers. The definition is given as well as the geometric interpretation. We then derive the formula for the modulos, give a few remark

From playlist Complex Numbers

Video thumbnail

Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - D.Farenick

Douglas Farenick (University of Toronto) / 13.09.17 Title: Isometric and Contractive of Channels Relative to the Bures Metric Abstract:In a unital C*-algebra A possessing a faithful trace, the density operators in A are those positive elements of unit trace, and the set of all density el

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

Video thumbnail

Proving a Function is a Group Homomorphism (Example with the Modulos)

Consider the map that takes the group of nonzero complex numbers under multiplication into the positive reals under multiplication given by f(z) = |z| where |z| is the modulos of z. We prove that this function is a group homomorphism. Useful Math Supplies https://amzn.to/3Y5TGcv My Record

From playlist Group Theory Problems

Video thumbnail

Higgs bundles and higher Teichmüller components (Lecture 2) by Oscar García-Prada

DISCUSSION MEETING : MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE : 10 February 2020 to 14 February 2020 VENUE : Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classif

From playlist Moduli Of Bundles And Related Structures 2020

Video thumbnail

How to Prove the Triangle Inequality for Complex Numbers

How to Prove the Triangle Inequality for Complex Numbers If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several ways that you can hel

From playlist Complex Analysis

Video thumbnail

Prove That The Modulos Of The Product Of Complex Numbers Is The Product Of The Moduli

Prove That The Modulos Of The Product Of Complex Numbers Is The Product Of The Moduli If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com Free Homework Help : https://mathsorcererforums.com/ My FaceBook Pag

From playlist Proofs with Complex Numbers

Video thumbnail

Introduction to p-adic Hodge theory (Lecture 4) by Denis Benois

PROGRAM PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France

From playlist Perfectoid Spaces 2019

Video thumbnail

Introduction to p-adic Hodge theory (Lecture 1) by Denis Benois

PERFECTOID SPACES ORGANIZERS : Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri and Narasimha Kumar Cheraku DATE & TIME : 09 September 2019 to 20 September 2019 VENUE : Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknat

From playlist Perfectoid Spaces 2019

Video thumbnail

Math 131 Lecture #04 091216 Complex Numbers, Countable and Uncountable Sets

Recall the complex numbers: the plane with addition and multiplication. Geometric interpretation of operations. Same thing as a+bi. Complex conjugate. Absolute value (modulus) of a complex numbers; properties (esp., triangle inequality). Cauchy-Schwarz inequality. Recall Euclidean sp

From playlist Course 7: (Rudin's) Principles of Mathematical Analysis

Related pages

Algebraic number field | Algebraic curve | Group homomorphism | Character (mathematics) | Mathematics | Ramification (mathematics) | Erich Hecke | Global field | Hecke character | Ring of integers | Algebraic number theory | Modular arithmetic | Abelian extension | Principal ideal | Ideal class group