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
We finally get to Lagrange's theorem for finite groups. If this is the first video you see, rather start at https://www.youtube.com/watch?v=F7OgJi6o9po&t=6s In this video I show you how the set that makes up a group can be partitioned by a subgroup and its cosets. I also take a look at
From playlist Abstract algebra
Twin Prime Conjecture - Numberphile
Dr James Maynard is a leading figure in recent progress on the Twin Prime Conjecture. More links and stuff below ↓↓↓ More Twin Primes from Numberphile: https://youtu.be/vkMXdShDdtY and https://youtu.be/D4_sNKoO-RA Prime Number Playlist: http://bit.ly/primevids Riemann Hypothesis videos:
From playlist James Maynard on Numberphile
When people think of the French revolution, they think of the 1789 one. They assume us French just cut our King’s head, among a few thousand more, and presto! We now had a republic. But that’s far from true. In fact, it would take 77 years before France got rid of its last monarch thanks t
From playlist Liberté, Egalité, Fraternité!
Approximating Irrational Numbers (Duffin-Schaeffer Conjecture) - Numberphile
James Maynard recently co-authored a proof of the Duffin-Schaeffer Conjecture. More links & stuff in full description below ↓↓↓ More James Maynard on Numberphile: http://bit.ly/JamesMaynard On the Duffin-Schaeffer conjecture - by Dimitris Koukoulopoulos and James Maynard - https://arxiv.
From playlist James Maynard on Numberphile
Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
Robbins' formulas, the Bellows conjecture + polyhedra volumes|Rational Geometry Math Foundations 128
We discuss modern developments in the direction of our latest videos, namely formulas for areas of polygons in terms of the quadrances of the sides. We discuss work of Moebius, Bowman and Robbins on the areas of cyclic pentagons. There is also a rich story about 3 dimensional generalizati
From playlist Math Foundations
János Pintz: Polignac numbers and the consecutive gaps between primes
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 Number Theory
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 Collatz Conjecture and Fractals
Visualizing the dynamics of the Collatz Conjecture though fractal self-similarity. Support this channel: https://www.patreon.com/inigoquilez Tutorials on maths and computer graphics: https://iquilezles.org Code for this video: https://www.shadertoy.com/view/llcGDS Donate: http://paypal.m
From playlist Maths Explainers
Modulo p Representations of GL_2 (K) (Lecture 1) by Benjamin Schraen
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
Cécile Dartyge: The Rudin-Shapiro function in finite fields
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 27, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
[BOURBAKI 2018] 13/01/2018 - 3/4 - Sébastien GOUËZEL
Méthodes entropiques pour les convolutions de Bernoulli [d'après Hochman, Shmerkin, Breuillard, Varjù] La convolution de Bernoulli de paramètre λ∈[1/2,1[ est la loi de ∑λnξn, où les ξn forment une suite de variables de Bernoulli non biaisées. On conjecture depuis les travaux fondateurs d'
From playlist BOURBAKI - 2018
Heinzmann Gerhard "Poincaré: from a philosophical point of view"
Résumé The problem Poincaré is concerned with is the achievement of an equilibrium between exactness and objectivity. The latter concerns a consensus with respect to empirical interpretation. His terminological tool to achieve the equilibrium process is the concept of "hypothesis". Differ
From playlist Colloque Scientifique International Poincaré 100
Joseph Ayoub - 1/5 Sur la conjecture de conservativité
La conjecture de conservativité affirme qu'un morphisme entre motifs constructibles est un isomorphisme s'il en est ainsi de l'une des ses réalisations classiques (de Rham, ℓ-adique, etc.). Il s'agit d'une conjecture centrale dans la théorie des motifs ayant des conséquences concrètes sur
From playlist Joseph Ayoub - Sur la conjecture de conservativité
François Charles : Application des mesures gaussiennes sur les réseaux euclidiens
Professeur à l’université Paris-Saclay, membre du Département Mathématiques et Applications de l’ENS Paris (DMA - CNRS & ENS Paris)
From playlist 40 ans du CIRM
Joseph Ayoub - 4/5 Sur la conjecture de conservativité
La conjecture de conservativité affirme qu'un morphisme entre motifs constructibles est un isomorphisme s'il en est ainsi de l'une des ses réalisations classiques (de Rham, ℓ-adique, etc.). Il s'agit d'une conjecture centrale dans la théorie des motifs ayant des conséquences concrètes sur
From playlist Joseph Ayoub - Sur la conjecture de conservativité
Joseph Ayoub - 2/5 Sur la conjecture de conservativité
La conjecture de conservativité affirme qu'un morphisme entre motifs constructibles est un isomorphisme s'il en est ainsi de l'une des ses réalisations classiques (de Rham, ℓ-adique, etc.). Il s'agit d'une conjecture centrale dans la théorie des motifs ayant des conséquences concrètes sur
From playlist Joseph Ayoub - Sur la conjecture de conservativité
Cedric Weber - An implementation of dynamical mean field theory for nano structures and molecules
PROGRAM: STRONGLY CORRELATED SYSTEMS: FROM MODELS TO MATERIALS DATES: Monday 06 Jan, 2014 - Friday 17 Jan, 2014 VENUE: Department of Physics, IISc Campus, Bangalore PROGRAM LINK : http://www.icts.res.in/program/MTM2014 The realistic description of materials with strong electron-electro
From playlist Strongly correlated systems: From models to materials
Joseph Ayoub - 5/5 Sur la conjecture de conservativité
La conjecture de conservativité affirme qu'un morphisme entre motifs constructibles est un isomorphisme s'il en est ainsi de l'une des ses réalisations classiques (de Rham, ℓ-adique, etc.). Il s'agit d'une conjecture centrale dans la théorie des motifs ayant des conséquences concrètes sur
From playlist Joseph Ayoub - Sur la conjecture de conservativité