algebraic geometry 27 The twisted cubic
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It describes two examples: the twisted cubic is isomorphic to a projective line, and the affine plane without the origin is not isomorphic to any affine algebraic set.
From playlist Algebraic geometry I: Varieties
Algebra - Ch. 5: Polynomials (1 of 32) What is a Polynomial?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a polynomial. An algebraic expression with 2 or more terms. I will also explain what is a monomial, binomial, trinomial, and polynomial of 4 terms; terms, and factors. To donate: http
From playlist ALGEBRA CH 5 POLYNOMIALS
Algebraic geometry 49: Hilbert polynomials
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives a review of the Hilbert polynomial of a graded module over a graded ring, and classifies integer-valued polynomials.
From playlist Algebraic geometry I: Varieties
Definition of a Ring and Examples of Rings
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Ring and Examples of Rings - Definition of a Ring. - Definition of a commutative ring and a ring with identity. - Examples of Rings include: Z, Q, R, C under regular addition and multiplication The Ring of all n x
From playlist Abstract Algebra
Rings and midules 3: Burnside ring and rings of differential operators
This lecture is part of an online course on rings and modules. We discuss a few assorted examples of rings. The Burnside ring of a group is a ring constructed form the permutation representations. The ring of differentail operators is a ring whose modules are related to differential equat
From playlist Rings and modules
RNT2.5. Polynomial Rings over Fields
Ring Theory: We show that polynomial rings over fields are Euclidean domains and explore factorization and extension fields using irreducible polynomials. As an application, we show that the units of a finite field form a cyclic group under multiplication.
From playlist Abstract Algebra
Is it a polynomial with two variables
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Residual Intersections in Geometry and Algebra by David Eisenbud
DISTINGUISHED LECTURES RESIDUAL INTERSECTIONS IN GEOMETRY AND ALGEBRA SPEAKER: David Eisenbud (Director, Mathematical Sciences Research Institute, and Professor of Mathematics, UC Berkeley) DATE: 13 December 2019, 16:00 to 17:00 VENUE: Madhava Lecture Hall, ICTS-TIFR, Bengaluru In thi
From playlist DISTINGUISHED LECTURES
How to reorder and classify a polynomial based on it's degree and number of terms
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations
A Tour of Skein Modules by Rhea Palak Bakshi
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
From playlist Knots Through Web (Online)
Algebraic geometry 50: The degree of a projective variety
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It defines the degree of a projective variety and gives a few examples.
From playlist Algebraic geometry I: Varieties
Classify a polynomial then determining if it is a polynomial or not
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Xavier Caruso: Ore polynomials and application to coding theory
In the 1930’s, in the course of developing non-commutative algebra, Ore introduced a twisted version of polynomials in which the scalars do not commute with the variable. About fifty years later, Delsarte, Roth and Gabidulin realized (independently) that Ore polynomials could be used to de
From playlist Algebraic and Complex Geometry
Clément Maria (10/23/19): Parameterized complexity of quantum invariants of knots
Title: Parameterized complexity of quantum invariants of knots Abstract: We give a general fixed parameter tractable algorithm to compute quantum invariants of knots presented by diagrams, whose complexity is singly exponential in the carving-width (or the tree-width) of the knot diagram.
From playlist AATRN 2019
CTNT 2018 - "Function Field Arithmetic" (Lecture 3) by Christelle Vincent
This is lecture 3 of a mini-course on "Function Field Arithmetic", taught by Christelle Vincent (UVM), during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - "Function Field Arithmetic" by Christelle Vincent
David Cimasoni : Covering spaces and spanning trees
Abstract: The aim of this talk is to show how basic notions traditionally used in the study of "knotted embeddings in dimensions 3 and 4", such as covering spaces and representation theory, can have non-trivial applications in combinatorics and statistical mechanics. For example, we will s
From playlist Topology
Richard Gustavson, Manhattan College
April 26, Richard Gustavson, Manhattan College Developing an Algebraic Theory of Integral Equations
From playlist Spring 2022 Online Kolchin seminar in Differential Algebra
Differential Equations | Second order linear homogeneous equations with repeated roots.
We derive the general solution to a second order linear homogeneous differential equation with constant coefficients whose companion polynomial has a repeated root.
From playlist Linear Differential Equations
CTNT 2020 - A virtual tour of Magma
This video is part of a series of videos on "Computations in Number Theory Research" that are offered as a mini-course during CTNT 2020. In this video, we take a virtual tour of Magma, the computational algebra system, paying special attention to its number theory capabilities. Please clic
From playlist CTNT 2020 - Computations in Number Theory Research