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
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
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From playlist Geometry
Counting rational points of cubic hypersurfaces - Salberger - Workshop 1 - CEB T2 2019
Per Salberger (Chalmers Univ. of Technology) / 23.05.2019 Counting rational points of cubic hypersurfaces Let N(X;B) be the number of rational points of height at most B on an integral cubic hypersurface X over Q. It is then a central problem in Diophantine geometry to study the asympto
From playlist 2019 - T2 - Reinventing rational points
R. Lazarsfeld: The Equations Defining Projective Varieties. Part 3.2
The lecture was held within the framework of the Junior Hausdorff Trimester Program Algebraic Geometry. (14.1.2014)
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Sir Michael Atiyah | The Riemann Hypothesis | 2018
Slides for this talk: https://drive.google.com/file/d/1DNHG9TDXiVslO-oqDud9f-9JzaFCrHxl/view?usp=sharing Sir Michael Francis Atiyah: "The Riemann Hypothesis" Monday September 24, 2018 9:45 Abstract: The Riemann Hypothesis is a famous unsolved problem dating from 1859. I will present a
From playlist Number Theory
Overview of null hypothesis, examples of null and alternate hypotheses, and how to write a null hypothesis statement.
From playlist Hypothesis Tests and Critical Values
Monotone Subsequence Theorem (Every Sequence has Monotone Subsequence) | Real Analysis
How nice of a subsequence does any given sequence has? We've seen that not every sequence converges, and some don't even have convergent subsequences. But today we'll prove what is sometimes called the Monotone Subsequence theorem, telling us that every sequence has a monotone subsequence.
From playlist Real Analysis
Coherent categorification of quantum loop sl(2) - Peng Shan
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: Coherent categorification of quantum loop sl(2) Speaker: Peng Shan Tsinghua University; Member, School of Mathematics Date: November 17, 2020 For more video please visit http://video.ias.edu
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
In this video, I prove the monotone sequence theorem in calculus, which says that if a sequence is increasing and bounded above, then it must converge. It’s a great way of showing that a sequence converges, without actually finding the limit!
From playlist Real Analysis
Tornado! The 1974 Super-Outbreak
In the 1974 tornado super-outbreak, 13 states were affected by this stunning storm that spawned an estimated 148 tornadoes. On average, the United States will experience seven intense EF4 and EF5 tornadoes a year. On April 3 and 4, 1974, the nation experienced thirty tornadoes of this inte
From playlist History and extreme weather
Some recent developments in Kähler geometry and exceptional holonomy – Simon Donaldson – ICM2018
Plenary Lecture 1 Some recent developments in Kähler geometry and exceptional holonomy Simon Donaldson Abstract: This article is a broad-brush survey of two areas in differential geometry. While these two areas are not usually put side-by-side in this way, there are several reasons for d
From playlist Plenary Lectures
Submarines, Balloons, and the Battle of Los Angeles
The History Guy remembers little-known Axis attacks on the U.S. mainland during World War II which caused widespread panic and diverted war resources. The History Guy uses media that are in the public domain. As photographs of actual events are sometimes not available, photographs of sim
From playlist California, documentaries of forgotten history
How Do Tornadoes Form? | The Science of Extreme Weather
How do tornadoes form? What makes some tornadoes more devastating than others? What is the best way to stay safe during a tornado? Luckily, scientists are on the case. In this video, Eric Snodgrass talks about "tornadogenesis"—the science of how tornadoes form. He discusses how meteorologi
From playlist Geology & Earth Science
Brian Lehmann: Geometric characterizations of big cycles
The volume of a divisor is an important invariant measuring the "positivity" of its numerical class. I will discuss an analogous construction for cycles of arbitrary codimension. The lecture was held within the framework of the Junior Hausdorff Trimester Program Algebraic Geometry. (26.2
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
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
This is a short, animated visual proof of Viviani's theorem, which states that the sum of the distances from any interior point to the sides of an equilateral triangle is equal to the length of the triangle's altitude. #math #geometry #mtbos #manim #animation #theorem #pww #proofwith
From playlist MathShorts
R. Berman - Canonical metrics, random point processes and tropicalization
In this talk I will present a survey of the connections between canonical metrics and random point processes on a complex algebraic variety X. When the variety X has positive Kodaira dimension, this leads to a probabilistic construction of the canonical metric on X introduced by Tsuji and
From playlist Complex analytic and differential geometry - a conference in honor of Jean-Pierre Demailly - 6-9 juin 2017