Class field theory

Ray class field

In mathematics, a ray class field is an abelian extension of a global field associated with a ray class group of ideal classes or idele classes. Every finite abelian extension of a number field is contained in one of its ray class fields. The term "ray class group" is a translation of the German term "Strahlklassengruppe". Here "Strahl" is the German for a ray, and often means the positive real line, which appears in the positivity conditions defining ray class groups. , p.6) uses "Strahl" to mean a certain group of ideals defined using positivity conditions, and uses "Strahlklasse" to mean a coset of this group. There are two slightly different notions of what a ray class field is, as authors differ in how the infinite primes are treated. (Wikipedia).

Video thumbnail

Quantum field theory, Lecture 2

This winter semester (2016-2017) I am giving a course on quantum field theory. This course is intended for theorists with familiarity with advanced quantum mechanics and statistical physics. The main objective is introduce the building blocks of quantum electrodynamics. Here in Lecture 2

From playlist Quantum Field Theory

Video thumbnail

Quantum Field Theory II Lecture 1

This is a course offered by Ashoke Sen, called Quantum field theory II.

From playlist Quantum Field Theory

Video thumbnail

7 AMAZING OPTICS EXPERIMENTS (science experiments)

Physics (la physique)

From playlist OPTICS

Video thumbnail

The Atom D1 X Rays

X-ray use in medicine.

From playlist Physics - The Atom

Video thumbnail

Quantum Field Theory 3a - Photons I

In this video we apply the theory we developed in videos 1 & 2, along with some ideas from electromagnetic theory, to develop a rigorous theory of photons.

From playlist Quantum Field Theory

Video thumbnail

The model of the atom - Bounded by the light

Reworking of the Weekend's blinded by the light

From playlist Level 2 NCEA Physics

Video thumbnail

Particle Physics 1: Introduction

Part 1 of a series: covering introduction to Quantum Field Theory, creation and annihilation operators, fields and particles.

From playlist Particle Physics

Video thumbnail

Astronomy - Ch. 6: Telescopes (11 of 25) The Newtonian Reflecting Telescope

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the Newtonian reflecting telescopes.

From playlist ASTRONOMY 6 TELESCOPES

Video thumbnail

1A Introduction to this course on limits

A course on limits in calculus for healthcare and life sciences students.

From playlist Life Science Math: Limits in calculus

Video thumbnail

CTNT 2020 - Heuristics for narrow class groups - Benjamin Breen

The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2020 - Conference Videos

Video thumbnail

Physics Sample Paper Solutions -2 || CBSE Class 10 Science || Sprint 10 || Dr. Akash Sir || IL

Sample paper solutions refer to the step-by-step explanation of the answers to a set of sample Physics problems. These solutions can be used as a reference by students to understand the method of solving similar problems and to check their own answers for accuracy. The solutions will be pr

From playlist Sprint 10 || CBSE Class 10 Sample Paper Solutions || Infinity Learn

Video thumbnail

Lec 1 | MIT 2.71 Optics, Spring 2009

Lecture 1: Course organization; introduction to optics Instructor: George Barbastathis, Colin Sheppard, Se Baek Oh View the complete course: http://ocw.mit.edu/2-71S09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 2.71 Optics, Spring 2009

Video thumbnail

Galaxy Clusters (Lecture 1) by Stefano Borgani

Program Cosmology - The Next Decade ORGANIZERS : Rishi Khatri, Subha Majumdar and Aseem Paranjape DATE : 03 January 2019 to 25 January 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore The great observational progress in cosmology has revealed some very intriguing puzzles, the most i

From playlist Cosmology - The Next Decade

Video thumbnail

Andy Magid, University of Oklahoma

Andy Magid, University of Oklahoma Differential Brauer Monoids

From playlist Online Workshop in Memory of Ray Hoobler - April 30, 2020

Video thumbnail

Summer App Space: Lecture 7 - Dr. C. Corbett Moran – 7/7/17

The Summer App Space is a summer program for LA students and teachers to learn programming while getting paid to do fun space-related projects. Learn more: http://summerappspace.com

From playlist Summer App Space - 2017

Video thumbnail

Physics Sample Paper Solutions-3 || CBSE Class 10 Science || Sprint 10 || Dr. Akash Sir || IL

Sample paper solutions refer to the step-by-step explanation of the answers to a set of sample Physics problems. These solutions can be used as a reference by students to understand the method of solving similar problems and to check their own answers for accuracy. The solutions will be pr

From playlist Sprint 10 || CBSE Class 10 Sample Paper Solutions || Infinity Learn

Video thumbnail

1. Introduction to the Class | MIT 8.224 Exploring Black Holes

Lecturer: Edmund Bertschinger View the complete course at: http://ocw.mit.edu/8-224S03 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Exploring Black Holes: General Relativity & Astrophysics

Video thumbnail

Physics & Astrophysics of Gamma-Ray Bursts: Part 1 by Frédéric Daigne

PROGRAM : GRAVITATIONAL WAVE ASTROPHYSICS (ONLINE) ORGANIZERS : Parameswaran Ajith, K. G. Arun, Sukanta Bose, Bala R. Iyer, Resmi Lekshmi and B Sathyaprakash DATE : 18 May 2020 to 22 May 2020 VENUE : ONLINE Meeting Due to the ongoing COVID-19 pandemic, the original program has been canc

From playlist Gravitational Wave Astrophysics (Online) 2020

Video thumbnail

The Atom D2 X Rays

X-ray use in medicine.

From playlist Physics - The Atom

Video thumbnail

Kähler–Einstein metrics on Fano manifolds: variational and algebro-geometric – S. Boucksom – ICM2018

Algebraic and Complex Geometry | Analysis and Operator Algebras Invited Lecture 4.1 | 8.1 Kähler–Einstein metrics on Fano manifolds: variational and algebro-geometric aspects Sébastien Boucksom Abstract: I will describe a variational approach to the existence of Kähler–Einstein metrics o

From playlist Algebraic & Complex Geometry

Related pages

Hilbert class field | Complex number | Rational number | Global field | Hecke character | Congruence (manifolds) | Real number | Fractional ideal | Ring of integers | Quotient group | Abelian extension | Principal ideal | Ideal class group