Unsolved problems in graph theory | Conjectures
Sumner's conjecture (also called Sumner's universal tournament conjecture) states that every orientation of every -vertex tree is a subgraph of every -vertex tournament. David Sumner, a graph theorist at the University of South Carolina, conjectured in 1971 that tournaments are universal graphs for polytrees. The conjecture was proven for all large by Daniela Kühn, Richard Mycroft, and Deryk Osthus. (Wikipedia).
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
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
Why science is NOT 'Just a Theory'
Have you ever heard ‘evolution’ dismissed as ‘just a theory’? Is a scientific theory no different to the theory that Elvis is still alive? Jim Al-Khalili puts the record straight. Subscribe for regular science videos: http://bit.ly/RiSubscRibe There’s an important difference between a sci
From playlist Ri Animations
Extremal Combinatorics with Po-Shen Loh - 05/01 Fri
Carnegie Mellon University is protecting the community from the COVID-19 pandemic by running courses online for the Spring 2020 semester. This is the video stream for Po-Shen Loh’s PhD-level course 21-738 Extremal Combinatorics. Professor Loh will not be able to respond to questions or com
From playlist CMU PhD-Level Course 21-738 Extremal Combinatorics
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
Maria Chudnovsky: Induced cycles and coloring
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Combinatorics
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
8. Dred Scott, Bleeding Kansas, and the Impending Crisis of the Union, 1855-58
The Civil War and Reconstruction (HIST 119) Professor Blight continues his march through the political events of the 1850s. Blight continues his description of the aftermath of the Kansas-Nebraska Act of 1854, describing the guerilla war that reigned in the territory of Kansas for much
From playlist The Civil War and Reconstruction with David Blight
Bleeding Kansas - John Brown #3 - Extra History
Wanna see Extra History episodes 1 week early, watch them without ads, and get exclusive content? Go to https://go.nebula.tv/extrahistory to get Nebula for 40% off! Watch John Brown 4 on Nebula RIGHT NOW: https://nebula.tv/videos/extrahistory-the-raid-on-harpers-ferry-john-brown-4 Senate
From playlist Extra History: John Brown - The Army of the Lord
How Did the Battle at Antietam End? | The Great Tours: Civil War Battlefields
The Battle of Antietam in the American Civil War ended with 3,600 dead and 1,700 captured or missing. In this second of two videos, hear two historians discuss the later stages of the battle and its aftermath. To see how it came about, watch the previous video right here: https://youtu.be/
From playlist American History
Jacob Lurie: 1/5 Tamagawa numbers in the function field case [2019]
Slides for this talk: http://swc-alpha.math.arizona.edu/video/2019/2019LurieLecture1Slides.pdf Lecture notes: http://swc.math.arizona.edu/aws/2019/2019LurieNotes.pdf Let G be a semisimple algebraic group defined over the field Q of rational numbers and let G(Q) denote the group of ration
From playlist Number Theory
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, I state and prove Grönwall’s inequality, which is used for example to show that (under certain assumptions), ODEs have a unique solution. Basically it says that if a function satisfies a differential equation, but with an inequality, then it must grow sub-exponentially.
From playlist Real Analysis
Is Pleasure The Secret to a Good Life? | Thought Experiment: The Experience Machine
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateidea Think, Cypher eating that juicy steak in The Matrix…... Tweet us! http://bit.ly/pbsideachanneltwitter Idea Channel Facebook! http://bit.ly/pbsideachannelfacebook Talk
From playlist Newest Episodes
Black Hat USA 2010: Social Networking Special OpsOps: Extending Data Visualization 1/5
Speaker: Chris Sumner If you're ever in a position when you need to pwn criminals via social networks or see where Tony Hawk likes to hide skateboards around the world, this talk is for you. The talk is delivered in two parts, both of which are intended to shine a fun light on visual soc
From playlist Black Hat USA 2010
Dr. Karl on YouTube Space Lab: Vote Now!
We're asking you to come up with a science experiment for space and upload a video explaining it to YouTube. If your idea wins, it will be performed on the International Space Station and live streamed on YouTube to the world. And we'll throw in some out-of-this-world prizes, too. Dr Karl
From playlist Dr. Karl: YouTube Space Lab
21. Andrew Johnson and the Radicals: A Contest over the Meaning of Reconstruction
The Civil War and Reconstruction (HIST 119) In this lecture, Professor Blight begins his engagement with Reconstruction. Reconstruction, Blight suggests, might best be understood as an extended referendum on the meaning of the Civil War. Even before the war's end, various constituencies
From playlist The Civil War and Reconstruction with David Blight
Teach Astronomy - Testing a Hypothesis
http://www.teachastronomy.com/ One of the basic tasks of science is to test hypotheses. A hypothesis is a description of a set of data, a model, usually a mathematical description in most branches of science. To test a hypothesis we need data of sufficient quantity and quality, and our a
From playlist 01. Fundamentals of Science and Astronomy
We're asking you to come up with a science experiment for space and upload a video explaining it to YouTube. If your idea wins, it will be performed on the International Space Station and live streamed on YouTube to the world. And we'll throw in some out-of-this-world prizes, too. Dr Karl
From playlist Dr. Karl: YouTube Space Lab