Szymanski's conjecture

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

A (compelling?) reason for the Riemann Hypothesis to be true #SOME2

A visual walkthrough of the Riemann Zeta function and a claim of a good reason for the truth of the Riemann Hypothesis. This is not a formal proof but I believe the line of argument could lead to a formal proof.

From playlist Summer of Math Exposition 2 videos

CSDM - Dependent Random Choice and Approximate Sidorenko's Conjecture Sudakov hi

Benny Sudakov University of California at Los Angeles September 20, 2010 A beautiful conjecture of Erd\H{o}s-Simonovits and Sidorenko states that if H is a bipartite graph, then the random graph with edge density p has in expectation asymptotically the minimum number of copies of H over al

From playlist Mathematics

Proof: Supremum and Infimum are Unique | Real Analysis

If a subset of the real numbers has a supremum or infimum, then they are unique! Uniqueness is a tremendously important property, so although it is almost complete trivial as far as difficulty goes in this case, we would be ill-advised to not prove these properties! In this lesson we'll be

From playlist Real Analysis

Gabriel Kanarek - A Variation on the Erdős-Straus Conjecture - G4G14 Apr 2022

The Erdős-Straus Conjecture (aka the 4/n Problem) has not yet been solved. In this talk I will discuss a variation on this Conjecture: the 14/n Problem. This problem has many similarities with the 4/n Problem, but has some distinct properties, especially for multiples of 7.

From playlist G4G14 Videos

Hypergraph matchings and designs – Peter Keevash – ICM2018

Combinatorics Invited Lecture 13.10 Hypergraph matchings and designs Peter Keevash Abstract: We survey some aspects of the perfect matching problem in hypergraphs, with particular emphasis on structural characterisation of the existence problem in dense hypergraphs and the existence of d

From playlist Combinatorics

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

Bo’az Klartag: On Yuansi Chen’s work on the KLS conjecture II

The Kannan-Lovasz-Simonovits (KLS) conjecture is concerned with the isoperimetric problem in high-dimensional convex bodies. The problem asks for the optimal way to partition a convex body into two pieces of equal volume so as to minimize their interface. The conjecture suggests that up to

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

Zagier's conjecture on zeta(F,4) - Alexander Goncharov

Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: Zagier's conjecture on zeta(F,4) Speaker: Alexander Goncharov Affiliation: Yale University; Member, School of Mathematics Date: November 10, 2017 For more videos, please visit http://video.ias.

From playlist Mathematics

One Week

Provided to YouTube by Maverick One Week · Barenaked Ladies Digimon: The Movie ℗ 1998 Reprise Records Producer: Barenaked Ladies Unknown: Boo Macleod Unknown: Charlie Brocco Unknown: David Leonard Audio Recording Engineer: David Leonard Producer: David Leonard Acoustic Guitar: Ed Ro

From playlist alt 90s rock

It's All Been Done

Provided to YouTube by Reprise It's All Been Done · Barenaked Ladies Disc One: All Their Greatest Hits 1991 - 2001 ℗ 1998 Reprise Records Producer: Barenaked Ladies Unknown: Boo Macleod Unknown: Charlie Brocco Unknown: David Leonard Audio Recording Engineer: David Leonard Producer: D

From playlist alt 90s rock

Can we calculate 100 digits of π by hand? The William Shanks method.

For Pi Day 2022 I used the same method as William Shanks and we got π = 3.14159265358... you know, etc etc. Huge thanks to my patreon supporters who make this video possible. Join in and you can also help enable my ridiculous ideas: https://www.patreon.com/standupmaths And if you are a p

From playlist Matt calculates π

Bloopers & Outtakes: Crash Course Kids 01

With VidCon in full swing this week, we thought it would be nice to take a couple days off and give you some laughs. In this episode of Crash Course Kids, Sabrina tries really hard to say things. It doesn't always go well. Want to find Crash Course elsewhere on the internet? Crash Course

From playlist Bloopers & Outtakes

Try Trials: Crash Course Kids #39.2

We've talked about variables and solving problems. But how do we keep working on a problem if the first solution doesn't fix it? Trials! In this episode of Crash Course Kids, Sabrina shows us how to use Trials to figure out what the problems are with our solutions. ///Standards Used in Th

From playlist Engineering: The Engineering Process

Vegetation Transformation: Crash Course Kids #5.2

Have you ever seen a magic trick where one thing changes to another thing? Well, that's nothing compared to what plants can do through a process called photosynthesis. In this episode, Sabrina talks about how photosynthesis works! This first series is based on 5th-grade science. We're sup

From playlist Space Science: The Sun and Its Influence on Earth

Dimitri Zvonkine - Hurwitz numbers, the ELSV formula, and the topological recursion

We will use the example of Hurwitz numbers to make an introduction into the intersection theory of moduli spaces of curves and into the subject of topological recursion.

From playlist ­­­­Physique mathématique des nombres de Hurwitz pour débutants

Engineering Games: Crash Course Kids #29.2

So how can a game teach us about engineering? Pretty easily! When you're trying to solve a game, or a puzzle, or whatever, you will have a bunch of variables. The trick is knowing how to change one variable at a time to see what changes. In this episode of Crash Course Kids, Sabrina plays

From playlist Engineering: The Engineering Process

Fabulous Food Chains: Crash Course Kids #7.1

Everyone eats, right? But how does that food get the energy to power you? In this episode of Crash Course Kids, Sabrina talks about the way energy moves, or flows, through an ecosystem and how that movement forms Food Chains! This first series is based on 5th-grade science. We're super e

From playlist Life Science: Ecosystems and Flow of Energy

The Dirt on Decomposers: Crash Course Kids #7.2

We've talked about food chains and how energy moves through an ecosystem, but let's take a step back and see how everything starts... and ends. Decomposers! This first series is based on 5th-grade science. We're super excited and hope you enjoy Crash Course Kids! ///Standards Used in Thi

From playlist Life Science: Ecosystems and Flow of Energy

ABC Intro - part 2 - Frey Curve, Szpiro, and ABC

In this video we introduce Szpiro's Conjecture and show how it implies the ABC conjecture.

From playlist ABC Conjecture Introduction