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
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
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
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
Tristan Riviere: The work of Louis Nirenberg on Partial Differential Equations
Original title of the lecture: "Exploring the unknown, the work of Louis Nirenberg on Partial Differential Equations" We had to shorten the title to fit Youtubes limitations of title length. Abastract: Partial differential equations are a central object in the mathematical modeling of na
From playlist Abel Lectures
Pre-recorded lecture 1: Introduction. What is Nijenhuis Geometry?
MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems Pre-recorded lecture: These lectures were recorded as part of a cooperation between the Chinese-Russian Mathematical Center (Beijing) and the Moscow Center of Fundamental and Applied Mathematics (Moscow). Nijenhuis Geomet
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)
Louis Nirenberg: Some remarks on Mathematics
Abel Laureate Louis Nirenberg, Courant Institute, New York University: Some remarks on Mathematics This lecture was held by Abel Laurate Louis Nirenberg at The University of Oslo, May 20, 2015 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. P
From playlist Louis Nirenberg
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
The Extraordinary Theorems of John Nash - with Cédric Villani
Fields medal winner Cédric Villani takes us through the very special world of mathematical creation of John Nash, who founded several new chapters of game theory and geometric analysis in just a few revolutionary contributions that seemed to come from nowhere. Subscribe for regular scienc
From playlist Mathematics
Louis Nirenberg Acceptance speech - The Abel Prize
Acceptance speech by Louis Nirenberg from the 2015 Abel Prize Award Ceremony.
From playlist Louis Nirenberg
Camillo De Lellis: Ill-posedness for Leray solutions of the ipodissipative Navier-Stokes equations
Abstract: In a joint work with Maria Colombo and Luigi De Rosa we consider the Cauchy problem for the ipodissipative Navier-Stokes equations, where the classical Laplacian −Δ is substited by a fractional Laplacian (−Δ)α. Although a classical Hopf approach via a Galerkin approximation shows
From playlist Partial Differential Equations
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
Some identities involving the Riemann-Zeta function.
After introducing the Riemann-Zeta function we derive a generating function for its values at positive even integers. This generating function is used to prove two sum identities. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Riemann Zeta Function
Kolmogorov, Onsager and a stochastic model for turbulence - Susan Friedlander
Analysis Seminar Topic: Kolmogorov, Onsager and a stochastic model for turbulence Speaker: Susan Friedlander Affiliation: University of Southern California; Member, School of Mathematics Date: October 26, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Welcome - David Nirenberg Akshay Venkatesh
Celebration In Honor of the Frank C. and Florence S. Ogg Professorship Topic: Welcome Speakers: David Nirenberg Akshay Venkatesh Affiliation: Director and Leon Levy Professor, Institute for Advanced Study; Robert and Luisa Fernholz Professor, Institute for Advanced Study Date: October 13,
From playlist Mathematics
Carlos Kenig - The energy critical wave equation
Princeton University - January 26, 2016 This talk was part of "Analysis, PDE's, and Geometry: A conference in honor of Sergiu Klainerman"
From playlist Anlaysis, PDE's, and Geometry: A conference in honor of Sergiu Klainerman
Xavier Cabré - 23 September 2016
Cabré, Xavier "The saddle-shaped solution to the Allen-Cahn equation and a conjecture of De Giorgi"
From playlist A Mathematical Tribute to Ennio De Giorgi
The Riemann Hypothesis, Explained
The Riemann hypothesis is the most notorious unsolved problem in all of mathematics. Ever since it was first proposed by Bernhard Riemann in 1859, the conjecture has maintained the status of the "Holy Grail" of mathematics. In fact, the person who solves it will win a $1 million prize from
From playlist Explainers
Frank Morgan: Soap Bubbles and Mathematics
Summary: Soap bubbles, with applications from cappuccino to universes, illustrate some fundamental questions in mathematics. The show will include some demonstrations. Frank Morgan is an American mathematician and the Webster Atwell '21 Professor of Mathematics at Williams College, specia
From playlist Popular presentations