In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were
From playlist An Introduction to the Arithmetic of Elliptic Curves
C07 Homogeneous linear differential equations with constant coefficients
An explanation of the method that will be used to solve for higher-order, linear, homogeneous ODE's with constant coefficients. Using the auxiliary equation and its roots.
From playlist Differential Equations
23 Algebraic system isomorphism
Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.
From playlist Abstract algebra
(0.3.101) Exercise 0.3.101: Classifying Differential Equations
This video explains how to classify differential equations based upon their properties https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
An interesting homotopy (in fact, an ambient isotopy) of two surfaces.
From playlist Algebraic Topology
Equivalence Relations Definition and Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relations Definition and Examples. This video starts by defining a relation, reflexive relation, symmetric relation, transitive relation, and then an equivalence relation. Several examples are given.
From playlist Abstract Algebra
Definition of a Surjective Function and a Function that is NOT Surjective
We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht
From playlist Injective, Surjective, and Bijective Functions
How to solve differentiable equations with logarithms
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
Homomorphisms in abstract algebra
In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu
From playlist Abstract algebra
An Example of Boundary Homogenization: The Homogenization of the...(Lecture 3) by François Murat
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
Emmanuel Ullmo - 3/4 La conjecture d’André-Oort
Les variétés de Shimura sont des objets centraux de la géométrie arithmétique. Du point de vue de la géométrie analytique complexe elles apparaissent comme des quotients d'espaces symétriques hermitiens par des réseaux arithmétiques. L'exemple clef est l'espace de modules Ag des variétés a
From playlist Emmanuel Ullmo - La conjecture d’André-Oort
Emmanuel Ullmo - 1/4 La conjecture d’André-Oort
Les variétés de Shimura sont des objets centraux de la géométrie arithmétique. Du point de vue de la géométrie analytique complexe elles apparaissent comme des quotients d'espaces symétriques hermitiens par des réseaux arithmétiques. L'exemple clef est l'espace de modules Ag des variétés a
From playlist Emmanuel Ullmo - La conjecture d’André-Oort
Emmanuel Ullmo - 4/4 La conjecture d’André-Oort
Les variétés de Shimura sont des objets centraux de la géométrie arithmétique. Du point de vue de la géométrie analytique complexe elles apparaissent comme des quotients d'espaces symétriques hermitiens par des réseaux arithmétiques. L'exemple clef est l'espace de modules Ag des variétés a
From playlist Emmanuel Ullmo - La conjecture d’André-Oort
Emmanuel Ullmo - 2/4 La conjecture d’André-Oort
Les variétés de Shimura sont des objets centraux de la géométrie arithmétique. Du point de vue de la géométrie analytique complexe elles apparaissent comme des quotients d'espaces symétriques hermitiens par des réseaux arithmétiques. L'exemple clef est l'espace de modules Ag des variétés a
From playlist Emmanuel Ullmo - La conjecture d’André-Oort
Ledoux Michel "Poincaré inequalities in probability and geometric analysis"
Résumé Some of the most famous works of Henri Poincaré have been motivated by the problem of the stability of the Solar System. Indeed, since its formulation by Newton, this problem has fascinated astronomers and mathematicians, searching to prove the stability of the Solar System. Poinca
From playlist Colloque Scientifique International Poincaré 100
Laskar Jacques "Stability and Chaos in the Solar System. From Poincaré to the present"
Résumé Some of the most famous works of Henri Poincaré have been motivated by the problem of the stability of the Solar System. Indeed, since its formulation by Newton, this problem has fascinated astronomers and mathematicians, searching to prove the stability of the Solar System. Poinca
From playlist Colloque Scientifique International Poincaré 100
Entanglement: The Quantum Around You. Ep 2
Albert Einstein was famously sceptical about certain predictions of Quantum Mechanics, such as the idea that there is a special type of correlation, called "entanglement", through which acting on a particle here can influence another particle far away. It is now well established that entan
From playlist New to us? Try these.
Le "Questionnaire du CIRM" avec Pierre-Louis LIONS
A la manière de Proust ou de Pivot, le Centre International de Rencontres Mathématiques (CIRM) s'est amusé à décaler les interviews des mathématiciens qu'il accueille... Le premier à s'être laissé prendre au jeu est Pierre-Louis LIONS... Médaille Fields 1994, Pierre-Louis LIONS est profes
From playlist Lagrange Days at CIRM
5 Tips to Avoid Common French Mistakes
Everyone struggles with French, especially the French, or at least me, so here are 5 tips I regularly use to avoid these common mistakes. I hope they help! Hi! This is Barris, a French – American that lived most of his life in France and is passionate about learning, exploring, hiking and
From playlist Learn French the Lazy Way
A review of the notes common to all formations of a G chord.
From playlist Music Lessons