Homological algebra

Factorization homology

In algebraic topology and category theory, factorization homology is a variant of topological chiral homology, motivated by an application to topological quantum field theory and cobordism hypothesis in particular. It was introduced by David Ayala, John Francis, and Nick Rozenblyum. (Wikipedia).

Video thumbnail

Algebra - Ch. 6: Factoring (2 of 55) What is Factoring?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is factoring. Factoring is the process of taking a number or an expression and writing it as a product of it's factor. (It is the reverse of applying the distributive property.) To donat

From playlist ALGEBRA CH 6 FACTORING

Video thumbnail

Factoring a binomial using distributive property

👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe

From playlist Factor Quadratic Expressions | Difference of Two Squares

Video thumbnail

How to factor a binomial by factoring out the GCF as well as by difference of two squares

👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe

From playlist Factor Quadratic Expressions | Difference of Two Squares

Video thumbnail

Learning how to factor a binomial using the difference of two squares

👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe

From playlist Factor Quadratic Expressions | Difference of Two Squares

Video thumbnail

Determine the Product of a Matrix and Vector using the Diagonalization of the Matrix

This video explains how to use the diagonalization of a 2 by 2 matrix to find the product of a matrix and a vector given matrix P and D.

From playlist The Diagonalization of Matrices

Video thumbnail

Factoring trinomials #2 difference of two squares

👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe

From playlist Factor Quadratic Expressions | Difference of Two Squares

Video thumbnail

Factoring a binomial using the difference of two squares

👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe

From playlist Factor Quadratic Expressions | Difference of Two Squares

Video thumbnail

Simplifying a factorial divided by another factorial

👉 Learn all about factorials. Factorials are the multiplication of a number in descending integer values back to one. Factorials are used often in sequences, series, permutations, and combinations. Factorial quotient expressions are simplified by canceling out common integer products or

From playlist Sequences

Video thumbnail

What is prime factorization of a number or expression

👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb

From playlist Prime Factorization

Video thumbnail

Lecture 6: HKR and the cotangent complex

In this video, we discuss the cotangent complex and give a proof of the HKR theorem (in its affine version) Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-m

From playlist Topological Cyclic Homology

Video thumbnail

The Tamagawa Number Formula via Chiral Homology - Dennis Gaitsgory

Dennis Gaitsgory Harvard University March 1, 2012 Let X a curve over F_q and G a semi-simple simply-connected group. The initial observation is that the conjecture of Weil's which says that the volume of the adelic quotient of G with respect to the Tamagawa measure equals 1, is equivalent

From playlist Mathematics

Video thumbnail

Markus Banagl : The L-Homology fundamental class for singular spaces and the stratified Novikov

Abstract : An oriented manifold possesses an L-homology fundamental class which is an integral refinement of its Hirzebruch L-class and assembles to the symmetric signature. In joint work with Gerd Laures and James McClure, we give a construction of such an L-homology fundamental class for

From playlist Topology

Video thumbnail

Lecture 7: Hochschild homology in ∞-categories

In this video, we construct Hochschild homology in an arbitrary symmetric-monoidal ∞-category. The most important special case is the ∞-category of spectra, in which we get Topological Hochschild homology. Feel free to post comments and questions at our public forum at https://www.uni-mu

From playlist Topological Cyclic Homology

Video thumbnail

Lecture 10: The circle action on THH

In this video we construct an action of the circle group S^1 = U(1) on the spectrum THH(R). We will see how this is the homotopical generalisation of the Connes operator. The key tool will be Connes' cyclic category. The speaker is of course Achim Krause and not Thomas Nikolaus as falsely

From playlist Topological Cyclic Homology

Video thumbnail

Dennis Gaitsgory - Tamagawa Numbers and Nonabelian Poincare Duality, II [2013]

Dennis Gaitsgory Wednesday, August 28 4:30PM Tamagawa Numbers and Nonabelian Poincare Duality, II Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 Abstract: This will be a continuation of Jacob Lurie’s talk. Let X be an al

From playlist Number Theory

Video thumbnail

Special Values of Zeta Functions (Lecture 2) by Matthias Flach

PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla

From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)

Video thumbnail

Teena Gerhardt - 3/3 Algebraic K-theory and Trace Methods

Algebraic K-theory is an invariant of rings and ring spectra which illustrates a fascinating interplay between algebra and topology. Defined using topological tools, this invariant has important applications to algebraic geometry, number theory, and geometric topology. One fruitful approac

From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

Video thumbnail

The Metaphysics of Homology: The Molecular Basis of Character Identity

Franke Program in Science & The Humanities, Guntar Wagner, April 1, 2014 Yale Professor of Ecology and Evolutionary Biology, Gunter Wagner, delivers a lecture based on his new book "Homology, Genes, and Evolutionary Innovation." Wagner provides this abstract of his talk: Like other founda

From playlist Franke Program in Science and the Humanities

Video thumbnail

Applying the difference of two squares with fractions, (1/4)x^2 - (1/4)

👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe

From playlist Factor Quadratics With Fractions | 5 Examples Compilation

Related pages

Topological quantum field theory | Category theory | Algebraic topology