In mathematics, class field theory is the study of abelian extensions of local and global fields. (Wikipedia).
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
Quantum field theory, Lecture 1
*UPDATE* Lecture notes available! https://github.com/avstjohn/qft Many thanks to Dr. Alexander St. John! 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 p
From playlist Quantum Field Theory
This video contains the origins of group theory, the formal definition, and theoretical and real-world examples for those beginning in group theory or wanting a refresher :)
From playlist Summer of Math Exposition Youtube Videos
Group theory | Math History | NJ Wildberger
Here we give an introduction to the historical development of group theory, hopefully accessible even to those who have not studied group theory before, showing how in the 19th century the subject evolved from its origins in number theory and algebra to embracing a good part of geometry.
From playlist MathHistory: A course in the History of Mathematics
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
This is lecture 1 of an online mathematics course on group theory. This lecture defines groups and gives a few examples of them.
From playlist Group theory
Simple groups, Lie groups, and the search for symmetry I | Math History | NJ Wildberger
During the 19th century, group theory shifted from its origins in number theory and the theory of equations to describing symmetry in geometry. In this video we talk about the history of the search for simple groups, the role of symmetry in tesselations, both Euclidean, spherical and hyper
From playlist MathHistory: A course in the History of Mathematics
Embeddedness of timelike maximal surfaces in (1+2) Minkowski Space by Edmund Adam Paxton
Discussion Meeting Discussion meeting on zero mean curvature surfaces (ONLINE) Organizers: C. S. Aravinda and Rukmini Dey Date: 07 July 2020 to 15 July 2020 Venue: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be co
From playlist Discussion Meeting on Zero Mean Curvature Surfaces (Online)
Category Theory: The Beginner’s Introduction (Lesson 1 Video 2)
Lesson 1 is concerned with defining the category of Abstract Sets and Arbitrary Mappings. We also define our first Limit and Co-Limit: The Terminal Object, and the Initial Object. Other topics discussed include Duality and the Opposite (or Mirror) Category. Follow me on Twitter: @mjmcodr
From playlist Category Theory: The Beginner’s Introduction
Introduction to number theory lecture 30. Fields in number theory
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We extend some of the results we proved about the integers mod p to more general fields.
From playlist Introduction to number theory (Berkeley Math 115)
Geometry of the moduli space of curves – Rahul Pandharipande – ICM2018
Plenary Lecture 3 Geometry of the moduli space of curves Rahul Pandharipande Abstract: The moduli space of curves, first appearing in the work of Riemann in the 19th century, plays an important role in geometry. After an introduction to the moduli space, I will discuss recent directions
From playlist Plenary Lectures
A. Mondino - Time-like Ricci curvature bounds via optimal transport (version temporaire)
Time-like Ricci curvature bounds via optimal transport in Lorentzian synthetic spaces and applications The goal of the talk is to present a recent work in collaboration with Cavalletti (SISSA) on optimal transport in Lorentzian synthetic spaces. The aim is to set up a “Lorentzian analog”
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
A. Mondino - Time-like Ricci curvature bounds via optimal transport
Time-like Ricci curvature bounds via optimal transport in Lorentzian synthetic spaces and applications The goal of the talk is to present a recent work in collaboration with Cavalletti (SISSA) on optimal transport in Lorentzian synthetic spaces. The aim is to set up a “Lorentzian analog”
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Stanford Seminar - Developing Design Spaces for Visualization - Tamara Munzner
Tamara Munzner is a Professor of Computer Science at the University of British Columbia. This talk was given March 4, 2022. Design spaces impose a systematic structure on the set of possibilities, intended to capture the key variables at play in the context of a particular design proble
From playlist Stanford Seminars
At the edge of time: Exploring the mysteries of our universe’s first seconds
Over the past few decades, scientists have made incredible discoveries about how our cosmos evolved over the past 13.8 billion years. But we still know very little about what happened in the first seconds after the Big Bang. In this public lecture, physicist and author Dan Hooper explores
From playlist Lecture Series
Kod.io 2014 - Beyond the Bar Graph by Joanne Cheng
Turning set of numbers into a simple graph can instantly tell us a story about data. However, there are times when a standard graph isn't enough. Sometimes we need to search for alternate ways to visualize our data so we can communicate with users better. In this talk, we'll be looking at
From playlist Kod.io 2014
SDS 451: Translating PhD Research into ML Applications — with Dan Shiebler
Dan Shiebler joins us to discuss his category theory Ph.D. program, his full-time job at Twitter, and how the two crossover and combine in his overall data work. In this episode you will learn: • Dan’s neuroscience undergrad and MATLAB [2:38] • Dan’s Ph.D. timeline and research [12:27] •
From playlist Super Data Science Podcast
The Structure of Fields: What is a field and a connection between groups and fields
This video is primarily meant to help develop some ideas around the structure of fields and a connection between groups and fields (which will allow me to create more abstract algebra videos in the future! 😀😅🤓) 00:00 Intro 01:04 What is a Field? Here we give the definition of a field in
From playlist The New CHALKboard
Cosmological Perturbation Theory / CMB (Lecture 3) by D Pogosyan
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