In mathematics, a Manin triple (g, p, q) consists of a Lie algebra g with a non-degenerate invariant symmetric bilinear form, together with two isotropic subalgebras p and q such that g is the direct sum of p and q as a vector space. A closely related concept is the (classical) Drinfeld double, which is an even dimensional Lie algebra which admits a Manin decomposition. Manin triples were introduced by Drinfeld , who named them after Yuri Manin. classified the Manin triples where g is a complex reductive Lie algebra. (Wikipedia).
Multiplying two rational expressions with polynomials
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Trinomials) #Rational
Francesca Balestrieri, The arithmetic of zero-cycles on products of K3 surfaces and Kummer varieties
VaNTAGe seminar, March 9, 2021
From playlist Arithmetic of K3 Surfaces
Marta Pieropan, The split torsor method for Manin’s conjecture
See https://tinyurl.com/y98dn349 for an updated version of the slides with minor corrections. VaNTAGe seminar 20 April 2021
From playlist Manin conjectures and rational points
Holly Krieger, Equidistribution and unlikely intersections in arithmetic dynamics
VaNTAGe seminar on May 26, 2020. License: CC-BY-NC-SA. Closed captions provided by Marley Young.
From playlist Arithmetic dynamics
Mulitiplying Rational Expressions
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Trinomials) #Rational
Obstruction de Brauer-Manin pour les surfaces (...) - Colliot-Thélène - Workshop 1 - CEB T2 2019
Jean-Louis Colliot-Thélène (Mathématiques, Université Paris-Sud) / 20.05.2019 Obstruction de Brauer-Manin pour les surfaces de Markoff C’est un problème difficile de décider quand une surface cubique affine a un point entier, et si les points entiers sont denses (en divers sens). Ghosh
From playlist 2019 - T2 - Reinventing rational points
Will Sawin, The freeness alternative to thin sets in Manin's conjecture
VaNTAGe seminar, May 4, 2021 License: CC-BY-NC-SA
From playlist Manin conjectures and rational points
Strong approximation for a family of norm varieties - Xu - Workshop 1 - CEB T2 2019
Fei Xu (Capital Normal University) / 23.05.2019 Strong approximation for a family of norm varietiesLet L/k be a finite extension of number fields and q(t) be a polynomial over k. It is a classical problem to study weak approximation for the family of norm varieties defined by NL/k(x) = q
From playlist 2019 - T2 - Reinventing rational points
How to use factoring when multiplying two rational expressions
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Trinomials) #Rational
Bianca Viray, The Brauer group and the Brauer-Manin obstruction on K3 surfaces
VaNTAGe seminar, February 23, 2021
From playlist Arithmetic of K3 Surfaces
How to multiply two exponents when they do not have same base and fraction powers
👉 Learn how to multiply with rational powers. To multiply two or more numbers/expressions with rational exponents, we apply the basic rules of exponents. If the two numbers/expressions are the same, we simply take one of the number and raise it to the power of the sum of the exponents. If
From playlist Multiply Fractional Exponents
Dividing two rational expressions and simplify by factoring
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Trinomials) #Rational
Yuri Tschinkel, Height zeta functions
VaNTAGe seminar May 11, 2021 License: CC-BY-NC-SA
From playlist Manin conjectures and rational points
Polynomials with Trigonometric Solutions (2 of 3: Substitute & solve)
More resources available at www.misterwootube.com
From playlist Using Complex Numbers
Learning to make multiplying rational expressions easy
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Binomials) #Rational
Multiplying rational expressions
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Binomials) #Rational
Multiplication of Complex Numbers
http://www.freemathvideos.com In this video series I show you how to multiply complex numbers. Multiplication of complex numbers is similar to multiplication of polynomials as we need to only multiply coefficients by coefficients and our imaginary terms together. We will also follow the ru
From playlist Multiply Rational Expressions (Binomials) #Rational
Persistence of the Brauer-Manin obstruction under field extension - Viray - Workshop 2 - CEB T2 2019
Bianca Viray (University of Washington) / 27.06.2019 Persistence of the Brauer-Manin obstruction under field extension. We consider the question of when an empty Brauer set over the ground field gives rise to an empty Brauer set over an extension. We first consider the case of quartic d
From playlist 2019 - T2 - Reinventing rational points
Multiplying two rational expression when simplifying using the difference of two squares
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Binomials) #Rational
Iterated Shimura integrals - Yuri Manin
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Yuri Manin Northwestern University October 19, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a four-day con
From playlist Pierre Deligne 61st Birthday