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
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
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
June Huh is awarded the Fields Medal 2022 for bringing the ideas of Hodge theory to combinatorics, the proof of the Dowling–Wilson conjecture for geometric lattices, the proof of the Heron–Rota–Welsh conjecture for matroids, the development of the theory of Lorentzian polynomials, and the
From playlist IMU Awards
Understanding and computing the Riemann zeta function
In this video I explain Riemann's zeta function and the Riemann hypothesis. I also implement and algorithm to compute the return values - here's the Python script:https://gist.github.com/Nikolaj-K/996dba1ff1045d767b10d4d07b1b032f
From playlist Programming
Rota's conjecture and positivity of algebraic cycles in toric varieties - June Huh
June Huh Member, School of Mathematics September 25, 2014 More videos on http://video.ias.edu
From playlist Mathematics
Ramsey theory is based on Ramsey's theorem, because without it, there would be no Ramsey numbers, since they are not well-defined. This is part 2 of the trilogy of the Ramsey numbers. Useful link: https://en.wikipedia.org/wiki/Ramsey%27s_theorem#2-colour_case Other than commenting on the
From playlist Ramsey trilogy
Viviani's Theorem: "Proof" Without Words
Link: https://www.geogebra.org/m/BXUrfwxj
From playlist Geometry: Challenge Problems
A Beautiful Proof of Ptolemy's Theorem.
Ptolemy's Theorem seems more esoteric than the Pythagorean Theorem, but it's just as cool. In fact, the Pythagorean Theorem follows directly from it. Ptolemy used this theorem in his astronomical work. Google for the historical details. Thanks to this video for the idea of this visual
From playlist Mathy Videos
How a Mass Flow Controller works
I bought a couple mass flow controllers from eBay to improve the process control of my sputtering chamber. These MFCs are much better suited than a needle valve and rotameter (manual flowmeter).
From playlist Mechanics
Berkshire - Straight Up Airliner (1957)
White Waltham, Berkshire. GV. Fairey Rotodyne, vertical takeoff airliner, at White Waltham airfield - this is the first helicopter airliner tested. SV. Squadron Leader Ronald Gallatly, AFC pilot of Rotodyne talking with two other men beside helicopter. CU. Nose and cockpit of Rotodyne.
From playlist The Things That Move Us: History of the Helicopter (aka "Get to the Choppa!")
Jeffrey Lagarias: Splitting measures on polynomials and the field with one element
The lecture was held within the framework of the Hausdorff Trimester Program: Non-commutative Geometry and its Applications and the Workshop: Number theory and non-commutative geometry 26.11.2014
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
A sample lecture from Utah State University course GEO 6350 Invertebrate Paleontology and Paleobotany class
From playlist Utah State University: Invertebrate Paleontology and Paleobotany (CosmoLearning Geology)
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
Ekaterina Amerik: Rational curves and contraction loci on holomorphic symplectic manifolds
VIRTUAL LECTURE RECORDED DURING SOCIAL DISTANCING Recording during the meeting "Varieties with Trivial Canonical Class " the April 06, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by
From playlist Virtual Conference
Geordie Williamson: Langlands and Bezrukavnikov II Lecture 19
SMRI Seminar Series: 'Langlands correspondence and Bezrukavnikov’s equivalence' Geordie Williamson (University of Sydney) Abstract: The second part of the course focuses on affine Hecke algebras and their categorifications. Last year I discussed the local Langlands correspondence in bro
From playlist Geordie Williamson: Langlands correspondence and Bezrukavnikov’s equivalence
[BOURBAKI 2018] 31/03/2018 - 3/3 - Antoine CHAMBERT-LOIR
Antoine CHAMBERT-LOIR — Relations de Hodge–Riemann et matroïdes Les matroïdes finis sont des structures combinatoires qui expriment la notion d’indépendance linéaire. En 1964, G.-C. Rota conjectura que les coefficients du « polynôme caractéristique » d’un matroïde M, polynôme dont les coe
From playlist BOURBAKI - 2018
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
Zeta Functions and Cohomology Intro part 1: Standard Conjectures, and Deninger's Conjectures
Here we give a quick and standard introduction to the problems about Zeta functions of varieties over finite fields and then indicate quickly how these are related to a system of problems about the usual Riemann zeta function.
From playlist Riemann Hypothesis
