Representation theory of algebraic groups
In mathematics, in the representation theory of algebraic groups, a linear representation of an algebraic group is said to be rational if, viewed as a map from the group to the general linear group, it is a rational map of algebraic varieties. Finite direct sums and products of rational representations are rational. A rational module is a module that can be expressed as a sum (not necessarily direct) of rational representations. (Wikipedia).
Simplifying a rational expression by factoring
Learn how to simplify 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 simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Simplify a rational expression
Learn how to simplify 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 simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Factoring out the GCF to simplify the rational expression
Learn how to simplify 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 simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
Simplify a rational expression
Learn how to simplify 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 simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
Simplify a rational expression by factoring
Learn how to simplify 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 simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Simplify a rational expression
Learn how to simplify 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 simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Learning to simplify a rational expression
Learn how to simplify 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 simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Simplify a rational expression
Learn how to simplify 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 simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Complete Simplifying Rational Expressions
Learn about simplifying rational expressions. A rational expression is an expression in the form of a fraction. To simplify a rational expression is to put the expression in a simplified form i.e. cancel out common factors, etc. When given a rational function such that the numerator and
From playlist Learn about Simplifying Rational Expressions #Rational
Motivic action on coherent cohomology of Hilbert modular varieties - Aleksander Horawa
Joint IAS/Princeton University Number Theory Seminar Topic: Motivic action on coherent cohomology of Hilbert modular varieties Speaker: Aleksander Horawa Affiliation: University of Michigan Date: February 03, 2022 A surprising property of the cohomology of locally symmetric spaces is tha
From playlist Mathematics
Potential Automorphy - Richard Taylor
Richard Taylor Institute for Advanced Study October 4, 2010 I will introduce l-adic representations and what it means for them to be automorphic, talk about potential automorphy as an alternative to automorphy, explain what can currently be proved (but not how) and discuss what seem to me
From playlist Mathematics
The Other Galois Representation of an Elliptic Curve - Michael Larsen
Members' Colloquium Topic: The Other Galois Representation of an Elliptic Curve Speaker: Michael Larsen Affiliation: Indiana University; Member, School of Mathematics Date: December 05, 2022 Let E be an elliptic curve defined over \Q. The \Q¯-points of E form an abelian group on which t
From playlist Mathematics
Set Theory (Part 13): Constructing the Rational Numbers
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will use the integers to construct the rational numbers as a quotient set, just as we constructed the integers. We will also introduce arithmetic on the rational numbers and show that
From playlist Set Theory by Mathoma
8ECM EMS Prize Lecture: Jack Thorne
From playlist 8ECM EMS Prize Lectures
CTNT 2022 - Grothendieck’s section set and the Lawrence–Venkatesh method (by Alex Betts)
This video is one of the special guess talks or conference talks that took place during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. Note: not every special guest lecture or conference lecture was recorded. More about CTNT: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2022 - Conference lectures and special guest lectures
Ana Caraiani, Modularity over CM fields
VaNTAGe Seminar, May 24, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in the talk: Freitas-Le Hung-Siksek: https://arxiv.org/abs/1310.7088 Poonen-Schaefer-Stoll: https://arxiv.org/abs/math/0508174 Harris-Lan-Taylor-Thorne: https://link.springer.com/article/10.1186/s406
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
Topological obstructions to matrix stability of discrete groups - Marius Dadarlat
Stability and Testability Topic: Topological obstructions to matrix stability of discrete groups Speaker: Marius Dadarlat Affiliation: Purdue University Date: March 03, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
Abbey Bourdon : Minimal torsion curves in geometric isogeny classes
CONFERENCE Recording during the thematic meeting : "COUNT, COmputations and their Uses in Number Theory" the March 02, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide math
From playlist JEAN MORLET CHAIR
Simplifying a rational expression by factoring
Learn how to simplify 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 simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Kevin Buzzard (lecture 12/20) Automorphic Forms And The Langlands Program [2017]
Full course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpiysoRR0bZozub-MM0k3mdFR http://wwwf.imperial.ac.uk/~buzzard/MSRI/ Summer Graduate School Automorphic Forms and the Langlands Program July 24, 2017 - August 04, 2017 Kevin Buzzard (Imperial College, London) https://w
From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]