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
Rahim Moosa: Around Jouanolou-type theorems
Abstract: In the mid-90’s, generalising a theorem of Jouanolou, Hrushovski proved that if a D-variety over the constant field C has no non-constant D-rational functions to C, then it has only finitely many D-subvarieties of codimension one. This theorem has analogues in other geometric con
From playlist Combinatorics
Weil conjectures 4 Fermat hypersurfaces
This talk is part of a series on the Weil conjectures. We give a summary of Weil's paper where he introduced the Weil conjectures by calculating the zeta function of a Fermat hypersurface. We give an overview of how Weil expressed the number of points of a variety in terms of Gauss sums. T
From playlist Algebraic geometry: extra topics
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
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
Capturing the Beauty of Africa’s Wildlife and Fighting to Save It | Nat Geo Live
We lose five elephants every hour, five lions per day, and a rhino every six hours. We are in a race against time to save these magnificent animals from extinction. For the past 30 years, award-winning filmmakers and National Geographic Explorers Dereck and Beverly Joubert have dedicated t
From playlist Nature & Environment | National Geographic
Martin Larsson: Affine Volterra processes and models for rough volatility
Abstract: Motivated by recent advances in rough volatility modeling, we introduce affine Volterra processes, defined as solutions of certain stochastic convolution equations with affine coefficients. Classical affine diffusions constitute a special case, but affine Volterra processes are n
From playlist Probability and Statistics
Marie-Claude Arnaud "Poincaré's last geometric theorem"
Résumé Poincaré's article « Sur un théorème de géométrie » begins with the following sentence: « I never published a so uncompleted work ». The year 1912 was the year of his death and the great mathematician guessed that he will not have enough time to prove the fundamental result contain
From playlist Colloque Scientifique International Poincaré 100
Incredible leopard and baby baboon interaction
An iconic scene from Dereck and Beverly Joubert's film Eye of the Leopard where a curious Legedema discovers a newborn baby baboon that brings out a different response to the one you'd expect. To download the full movie, click here: https://vimeo.com/ondemand/eyeoftheleopard ©Wildlife Fi
From playlist Nature
Women of Vision | Nat Geo Live
Across vast wildernesses from Africa to Mongolia, and in human settlements from the Arctic to the Jersey Shore, 11 accomplished female photographers explore modern realities and what it means to be human in the 21st Century. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geogra
From playlist National Geographic Live!: Season 6
Paul Auster to Young Writers: Lose the Ego | Big Think
Paul Auster to Young Writers: Lose the Ego New videos DAILY: https://bigth.ink/youtube Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- The novelist believes that it’s “the burning need to d
From playlist Writing tips from the experts | Big Think
Staring Down the Challenges of Writing | Paul Benjamin | Big Think
Staring Down the Challenges of Writing New videos DAILY: https://bigth.ink/youtube Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- For “Invisible” author Paul Auster, writing novels never g
From playlist Writing tips from the experts | Big Think
Ax Men: The Swamp Man Has Boat Trouble (S8, E15) | History
When his boat has mechanical problems, Shelby has to resort to old-fashioned tactics to source logs for his buyer in this collection of scenes from "Cuts Like a Knife." Subscribe for more Ax Men: http://histv.co/SubscribeHistoryYT Check out exclusive Ax Men videos and full episodes: http
From playlist Ax Men | Official Series Playlist | History
Dimitri Zvonkine - On two ELSV formulas
The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class
From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves
Daring Solo Beaufighter Raid - Paris 1942
Find out about Operation Squabble, a daring British plan to raise the morale of the people of occupied Paris by dropping a French tricolour on the Arc de Triomphe during a German parade! Many thanks to subscriber 'generallyawesome' for suggesting the topic. Help support my channel: https
From playlist Daring Raids
Theory of numbers: Congruences: Euler's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim
From playlist Theory of numbers
Growing Up in the African Wild : Beyond ‘Savage Kingdom’ (Part 1) | Nat Geo Live
Savage Kingdom producer and cinematographer Brad Bestelink shares stories from his childhood, about living in the African wild with animals that can kill you and what it's like to grow up knowing you are not top dog. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Get More Nat Geo Live: http
From playlist Nature & Environment | National Geographic
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
Probabilités, Irréversibilité et Propagation du chaos - CEB T2 2017 - I.Gallagher - Public Lecture 3
Public lecture by Isabelle Gallagher (Université Paris Diderot), 14/06/17 Probabilités, Irréversibilité et Propagation du chaos Suivant l'échelle à laquelle on observe un objet physique, on peut en faire une description très différente. Par exemple l'air est constitué d'un nombre gigantes
From playlist 2017 - T2 - Stochastic Dynamics out of Equilibrium - CEB Trimester