Abstract Algebra | The characteristic of a ring.
We define the characteristic of a ring and give some definitions. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
The definition of the characteristic polynomial (without using determinants). The Cayley-Hamilton Theorem.
From playlist Linear Algebra Done Right
Linear Algebra 16n: Every Matrix Satisfies Its Characteristic Equation
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 3 Linear Algebra: Linear Transformations
What does the fundamental theorem of algebra tell us about a polynomial
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Characteristics of Functions
Linear Algebra - Lecture 34 - The Characteristic Equation
In this lecture, we discuss the characteristic equation of a square matrix. This equation is used to compute the eigenvalues for that matrix.
From playlist Linear Algebra Lectures
What are the important things to know about the graph of a function
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
Derivation of the Characteristic Equation | Linear Algebra -- Eigenvalues and Eigenvectors
In this video, we look at the intuition behind eigenvalues and eigenvectors. In particular, we offer a derivation of the characteristic equation and relate to this to the geometric meaning behind eigenvalues and eigenvectors. We derive the characteristic equation for calculating eigenvalue
From playlist Linear Algebra
As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.
From playlist Basics: College Algebra
algebraic geometry 30 The Ax Grothendieck theorem
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the Ax-Grothendieck theorem, which states that an injective regular map between varieties is surjective. The proof uses a strange technique: first prove the resu
From playlist Algebraic geometry I: Varieties
Lie groups: Positive characteristic is weird
This lecture is part of an online graduate course on Lie groups. We give several examples to show that, over fields of positive characteristic, Lie algebras can behave strangely, and have a weaker connection to Lie groups. In particular the Lie algebra does not generate the ring of all in
From playlist Lie groups
A Gentle Approach to Crystalline Cohomology - Jacob Lurie
Members’ Colloquium Topic: A Gentle Approach to Crystalline Cohomology Speaker: Jacob Lurie Affiliation: Professor, School of Mathematics Date: February 28, 2022 Let X be a smooth affine algebraic variety over the field C of complex numbers (that is, a smooth submanifold of C^n which can
From playlist Mathematics
This lecture is part of an online graduate course on Lie groups. This lecture is about Lie's theorem, which implies that a complex solvable Lie algebra is isomorphic to a subalgebra of the upper triangular matrices. . For the other lectures in the course see https://www.youtube.com/playl
From playlist Lie groups
On a Hecke algebra isomorphism of Kazhdan by Radhika Ganapathy
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
Algebraic groups in positive characteristic - Srimathy Srinivasan
Short talks by postdoctoral members Topic: Algebraic groups in positive characteristic Speaker: Srimathy Srinivasan Affiliation: Member, School of Mathematics Date: October 4, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Algebraic proofs of degenerations of Hodge-de Rham complexes - Andrei Căldăraru
Reading group on Degeneration of Hodge-de Rham spectral sequences Topic: Algebraic proofs of degenerations of Hodge-de Rham complexes Speaker: Andrei Căldăraru Affiliation: University of Wisconsin, Madison Date: April 12, 2017 For more info, please visit http://video.ias.edu
From playlist Mathematics
Broué’s Abelian Defect Group Conjecture I - Jay Taylor
Seminar on Geometric and Modular Representation Theory Topic: Broué’s Abelian Defect Group Conjecture I Speaker: Jay Taylor Affiliation: University of Southern California; Member, School of Mathematics Date: September 9, 2020 For more video please visit http://video.ias.edu
From playlist Seminar on Geometric and Modular Representation Theory
Broué’s Abelian Defect Group Conjecture II - Daniel Juteau
Seminar on Geometric and Modular Representation Theory Topic: Broué’s Abelian Defect Group Conjecture II Speaker: Daniel Juteau Affiliation: Centre National de la Recherche Scientifique/Université Paris Diderot; Member, School of Mathematics Date: September 16, 2020 For more video please
From playlist Seminar on Geometric and Modular Representation Theory
Quantization in modular setting, and its applications - Roman Travkin
Short Talks by Postdoctoral Members Roman Travkin - September 30, 2015 http://www.math.ias.edu/calendar/event/88334/1443637800/1443638700 More videos on http://video.ias.edu
From playlist Short Talks by Postdoctoral Members
From playlist 2. Attributes of Functions