What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
ABC Intro - part 1 - What is the ABC conjecture?
This videos gives the basic statement of the ABC conjecture. It also gives some of the consequences.
From playlist ABC Conjecture Introduction
In this video, we explore the "pattern" to prime numbers. I go over the Euler product formula, the prime number theorem and the connection between the Riemann zeta function and primes. Here's a video on a similar topic by Numberphile if you're interested: https://youtu.be/uvMGZb0Suyc The
From playlist Other Math Videos
[BOURBAKI 2017] 21/10/2017 - 2/4 - Simon RICHE
La théorie de Hodge des bimodules de Soergel [d'après Soergel et Elias-Williamson] ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/In
From playlist BOURBAKI - 2017
Path isomorphisms between quiver Hecke and diagrammatic Bott-Samelson endomorphism... - Amit Hazi
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: Path isomorphisms between quiver Hecke and diagrammatic Bott-Samelson endomorphism algebras Speaker: Amit Hazi Affiliation: University of London Date: November 17, 2020 For more video please visit http://vi
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
Intuition meets AI in pure mathematics: Geordie Williamson DeepMind collaboration
For the first time, computer scientists and mathematicians have used artificial intelligence to help prove or suggest new mathematical theorems in the complex fields of knot theory and representation theory. SMRI Director Professor Geordie Williamson explains the collaboration with DeepMi
From playlist Geordie Williamson: Interviews
The Field With One Element and The Riemann Hypothesis (Full Video)
A crash course of Deninger's program to prove the Riemann Hypothesis using a cohomological interpretation of the Riemann Zeta Function. You can Deninger talk about this in more detail here: http://swc.math.arizona.edu/dls/ Leave some comments!
From playlist Riemann Hypothesis
The Prime Number Theorem, an introduction ← Number Theory
An introduction to the meaning and history of the prime number theorem - a fundamental result from analytic number theory. Narrated by Cissy Jones Artwork by Kim Parkhurst, Katrina de Dios and Olga Reukova Written & Produced by Michael Harrison & Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways t
From playlist Number Theory
Goemans-Williamson Max-Cut Algorithm | The Practical Guide to Semidefinite Programming (4/4)
Fourth and last video of the Semidefinite Programming series. In this video, we will go over Goemans and Williamson's algorithm for the Max-Cut problem. Their algorithm, which is still state-of-the-art today, is one of the biggest breakthroughs in approximation theory. Remarkably, it is
From playlist Semidefinite Programming
Mertens Conjecture Disproof and the Riemann Hypothesis | MegaFavNumbers
#MegaFavNumbers The Mertens conjecture is a conjecture is a conjecture about the distribution of the prime numbers. It can be seen as a stronger version of the Riemann hypothesis. It says that the Mertens function is bounded by sqrt(n). The Riemann hypothesis on the other hand only require
From playlist MegaFavNumbers
Behind the Science: Geordie Williamson
Interview with Professor Geordie Williamson. The Australian mathematician (research area: geometric representation theory) talks about his motivations, struggles, eureka moments and the incredible beauty of mathematics. The video is part of the series "Behind the Science". It was filmed a
From playlist Geordie Williamson: Interviews
How to Determine if Functions are Linearly Independent or Dependent using the Definition
How to Determine if Functions are Linearly Independent or Dependent using the Definition If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Th
From playlist Zill DE 4.1 Preliminary Theory - Linear Equations
A Hecke action on the principal block of a semisimple algebraic group - Simon Riche
Workshop on Representation Theory and Geometry Topic: A Hecke action on the principal block of a semisimple algebraic group Speaker: Simon Riche Affiliation: Université Paris 6; Member, School of Mathematics Date: April 01, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Open Problem(s) in p-Cell Theory - Lars Jensen
Short Talks by Postdoctoral Members Topic: Open Problem(s) in p-Cell Theory Speaker: Lars Jensen Affiliation: Member, School of Mathematics Date: September 23, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Wilson's Theorem ← Number Theory
A proof of Wilson's Theorem, a basic result from elementary number theory. The theorem can be strengthened into an iff result, thereby giving a test for primality. (Though in practice there are far more efficient tests.) Subject: Elementary Number Theory Teacher: Michael Harrison Artist
From playlist Number Theory
ICM Public Lecture: Geordie Williamson
Geordie Williamson (University of Sydney Mathematical Research Institute) gives a lecture on Machine Learning as a Tool for the Mathematician, as part of the ICM 2022 Public Lecture Series, hosted by the London Mathematical Society.
From playlist ICM 2022 Public Lectures
Geordie Williamson 6 August 2020
Topic: Modular Representation Theory and Geometry Abstract: This will be a broad survey talk on interactions between geometry and representation theory, with a focus on representations in positive characteristic (“modular representation theory”). I will outline several basic questions (e.
From playlist Geordie Williamson external seminars
Weil conjectures 1 Introduction
This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie
From playlist Algebraic geometry: extra topics
A Fibonacci bounded partial sum of the Harmonic series.
We determine the limit of a certain sequence defined in terms of Fibonacci and Harmonic numbers. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Identities involving Fibonacci numbers
Representation theory and geometry – Geordie Williamson – ICM2018
Plenary Lecture 17 Representation theory and geometry Geordie Williamson Abstract: One of the most fundamental questions in representation theory asks for a description of the simple representations. I will give an introduction to this problem with an emphasis on the representation theor
From playlist Plenary Lectures