Algebraic topology

Pontryagin cohomology operation

In mathematics, a Pontryagin cohomology operation is a cohomology operation taking cohomology classes in H2n(X,Z/prZ) to H2pn(X,Z/pr+1Z) for some prime number p. When p=2 these operations were introduced by Pontryagin and were named Pontrjagin squares by (with the term "Pontryagin square" also being used). They were generalized to arbitrary primes by . (Wikipedia).

Video thumbnail

Teach Astronomy - Cosmology

http://www.teachastronomy.com/ Cosmology is the study of the universe, its history, and everything in it. It comes from the Greek root of the word cosmos for order and harmony which reflected the Greek belief that the universe was a harmonious entity where everything worked in concert to

From playlist 22. The Big Bang, Inflation, and General Cosmology

Video thumbnail

Duality for Rabinowitz-Floer homology - Alex Oancea

IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Duality for Rabinowitz-Floer homology Speaker: Alex Oancea Affiliation: Institut de Mathématiques de Jussieu-Paris Rive Gauche Date: May 27, 2020 For more video please visit http://video.ias.edu

From playlist PU/IAS Symplectic Geometry Seminar

Video thumbnail

Marc Levine: Refined enumerative geometry (Lecture 4)

The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Lecture 4: Characteristic classes in Witt-cohomology Classical enumerative geometry relies heavily on the theory of Chern classes of vector bundles and the splitting principle, which

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

Video thumbnail

Marc Levine: Refined enumerative geometry (Lecture 1)

The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Marc Levine: Refined enumerative geometry Abstract: Lecture 1: Milnor-Witt sheaves, motivic homotopy theory and Chow-Witt groups We review the Hoplins-Morel construction of the Miln

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

Video thumbnail

Sheel Ganatra: The Floer theory of a cotangent bundle, the string topology of the base and...

Find 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, bibliographies,

From playlist Jean-Morlet Chair - Lalonde/Teleman

Video thumbnail

Vector cross product

The vector cross-product is another form of vector multiplication and results in another vector. In this tutorial I show you a simple way of calculating the cross product of two vectors.

From playlist Introducing linear algebra

Video thumbnail

Moduli of p-divisible groups (Lecture 3) by Ehud De Shalit

PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath

From playlist Perfectoid Spaces 2019

Video thumbnail

C46 Solving the previous problem by another method

There are more ways than one to solve Cauchy-Euler equations. In this video I revert to the substitution method.

From playlist Differential Equations

Video thumbnail

Linear Algebra for Computer Scientists. 7. Linear Combinations of Vectors

This computer science video is one of a series on linear algebra for computer scientists. In this video you will learn about linear combinations of vectors, that is, you will learn how to create new vectors by scaling then adding other vectors together. You will also learn that some sets

From playlist Linear Algebra for Computer Scientists

Video thumbnail

Solve a Bernoulli Differential Equation (Part 2)

This video provides an example of how to solve an Bernoulli Differential Equation. The solution is verified graphically. Library: http://mathispower4u.com

From playlist Bernoulli Differential Equations

Video thumbnail

Quasi-topological gauged sigma models, the geometric Langlands program, and knots by Meng-Chwan Tan

Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries

From playlist Quantum Fields, Geometry and Representation Theory

Video thumbnail

Floer theory revisited - Mohammed Abouzaid

Princeton/IAS Symplectic Geometry Seminar Topic: Floer theory revisited Speaker: Mohammed Abouzaid Date: Thursday, February 4 Time/Room: 10:30am - 11:45am/S-101 I will describe a formalism for (Lagrangian) Floer theory wherein the output is not a deformation of the cohomology ring, but of

From playlist Mathematics

Video thumbnail

Transpose of matrices

In this very easy and short tutorial I explain the concept of the transpose of matrices, where we exchange rows for columns. The matrices have some properties that you should be aware of. These include how to the the transpose of the product of matrices and in the transpose of the invers

From playlist Introducing linear algebra

Video thumbnail

Loop products, closed geodesics and self-intersections - Nancy Hingston

Workshop on Geometric Functionals: Analysis and Applications Topic: Loop products, closed geodesics and self-intersections Speaker: Nancy Hingston Affiliation: The College of New Jersey Date: March 6, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Michael Harris: Construction of p-adic L-functions for unitary groups

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 Algebraic and Complex Geometry

Video thumbnail

6 AWESOME DEMOS of Bernoulli's law!

In this video i show some simple experiments about Bernoulli' s law "coanda effect" and how airplane fly. Enjoy!

From playlist MECHANICS

Video thumbnail

C35 The Cauchy Euler Equation

I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.

From playlist Differential Equations

Video thumbnail

Systems of linear equations

Systems of linear equations seek a common solution for the unknowns across more than one equation. It can be very simple to calculate a solution using simple algebra. Alternatively you can use elementary row operations or even lines and planes in two- and three-dimensional space. At th

From playlist Introducing linear algebra

Video thumbnail

Fukaya category of a Hamiltonian fibration (Lecture – 01) by Yasha Savelyev

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

Related pages

Prime number | Characteristic class | Cohomology operation