Theorems in algebraic topology

Landweber exact functor theorem

In mathematics, the Landweber exact functor theorem, named after Peter Landweber, is a theorem in algebraic topology. It is known that a complex orientation of a homology theory leads to a formal group law. The Landweber exact functor theorem (or LEFT for short) can be seen as a method to reverse this process: it constructs a homology theory out of a formal group law. (Wikipedia).

Video thumbnail

How to find the position function given the acceleration function

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist Riemann Sum Approximation

Video thumbnail

Stokes Theorem

In this video, I present another example of Stokes theorem, this time using it to calculate the line integral of a vector field. It is a very useful theorem that arises a lot in physics, for example in Maxwell's equations. Other Stokes Example: https://youtu.be/-fYbBSiqvUw Yet another Sto

From playlist Vector Calculus

Video thumbnail

Midpoint riemann sum approximation

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist The Integral

Video thumbnail

Applying reimann sum for the midpoint rule and 3 partitions

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist The Integral

Video thumbnail

Right hand riemann sum approximation

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist The Integral

Video thumbnail

Learn how to find the position function given the velocity and acceleration, parti

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist Riemann Sum Approximation

Video thumbnail

Stokes Theorem

The most important theorem about vector fields, Stokes' theorem, which relates the surface integral of the curl with the line integral over the boundary. Here orientation matters, which I'll explain as well. Old Stokes Theorem Video https://youtu.be/bDILtddFKxw Vector Calculus Playlist: h

From playlist Vector Calculus

Video thumbnail

Yonatan Harpaz - New perspectives in hermitian K-theory II

Warning: around 32:30 in the video, in the slide entitled "Karoubi's conjecture", a small mistake was made - in the third bulleted item the genuine quadratic structure appearing should be the genuine symmetric one (so both the green and red instances of the superscript gq should be gs), an

From playlist New perspectives on K- and L-theory

Video thumbnail

Irreducibility and the Schoenemann-Eisenstein criterion | Famous Math Probs 20b | N J Wildberger

In the context of defining and computing the cyclotomic polynumbers (or polynomials), we consider irreducibility. Gauss's lemma connects irreducibility over the integers to irreducibility over the rational numbers. Then we describe T. Schoenemann's irreducibility criterion, which uses some

From playlist Famous Math Problems

Video thumbnail

Jacob Lurie: A Riemann-Hilbert Correspondence in p-adic Geometry Part 2

At the start of the 20th century, David Hilbert asked which representations can arise by studying the monodromy of Fuchsian equations. This question was the starting point for a beautiful circle of ideas relating the topology of a complex algebraic variety X to the study of algebraic diffe

From playlist Felix Klein Lectures 2022

Video thumbnail

Frobenius exact symmetric tensor categories - Pavel Etingof

Geometric and Modular Representation Theory Seminar Topic: Frobenius exact symmetric tensor categories Speaker: Pavel Etingof Affiliation: Massachusetts Institute of Technology Date: May 12, 2021 For more video please visit https://www.ias.edu/video

From playlist Seminar on Geometric and Modular Representation Theory

Video thumbnail

Kevin Coulembier: Frobenius exact tensor categories

Abstract: Partly motivated by Grothendieck’s original vision for motives, the question arises of when a tensor category (k-linear symmetric monoidal rigid abelian category) is tannakian, i.e. is the representation category of an affine group scheme, or more generally of a groupoid in schem

From playlist Representation theory's hidden motives (SMRI & Uni of MĂĽnster)

Video thumbnail

The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg

In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t

From playlist Algebraic Calculus One

Video thumbnail

Francesco Genovese - A derived Gabriel-Popescu Theorem for T-structures via derived injectives

Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/GenoveseNotesToposesOnline.pdf Joint work with Julia Ramos González In this short talk, we discuss a Gabriel-Popesc

From playlist Toposes online

Video thumbnail

Paul Turner: A hitchhiker's guide to Khovanov homology - Part I

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Geometry

Video thumbnail

Commutative algebra 47: Colimits and exactness

This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We discuss the question of when a colimit of exact sequences is exact. We first show that a colimit of right exact sequences i

From playlist Commutative algebra

Video thumbnail

Yonatan Harpaz - New perspectives in hermitian K-theory III

For questions and discussions of the lecture please go to our discussion forum: https://www.uni-muenster.de/TopologyQA/index.php?qa=k%26l-conference This lecture is part of the event "New perspectives on K- and L-theory", 21-25 September 2020, hosted by Mathematics MĂĽnster: https://go.wwu

From playlist New perspectives on K- and L-theory

Video thumbnail

Differential Equations | Application of Abel's Theorem Example 2

We give an example of applying Abel's Theorem to construct a second solution to a differential equation given one solution. www.michael-penn.net

From playlist Differential Equations

Related pages

Topological K-theory | Chromatic homotopy theory | Elliptic cohomology | Stack (mathematics) | Topological modular forms | Algebraic stack | Flat module | Topological space | Coherent sheaf | Highly structured ring spectrum | Étale topology | Morava K-theory | Johnson–Wilson theory | Formal group law | Complex cobordism | Brown–Peterson cohomology | Algebraic topology