Symplectic topology | Theorems in differential geometry

Lee Hwa Chung theorem

The Lee Hwa Chung theorem is a theorem in symplectic topology. The statement is as follows. Let M be a symplectic manifold with symplectic form ω. Let be a differential k-form on M which is invariant for all Hamiltonian vector fields. Then: * If k is odd, * If k is even, , where (Wikipedia).

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

Chow ring 1. Introduction.

This lecture gives an introductory overview of the Chow ring of a nonsingular variety. The idea is to define a ring structure related to subvarieties with the product corresponding to intersection. There are several complications that have to be solved, in particular how to define intersec

From playlist Algebraic geometry: extra topics

Video thumbnail

The Campbell-Baker-Hausdorff and Dynkin formula and its finite nature

In this video explain, implement and numerically validate all the nice formulas popping up from math behind the theorem of Campbell, Baker, Hausdorff and Dynkin, usually a.k.a. Baker-Campbell-Hausdorff formula. Here's the TeX and python code: https://gist.github.com/Nikolaj-K/8e9a345e4c932

From playlist Algebra

Video thumbnail

Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

Video thumbnail

José Ignacio Burgos Gil: Arithmetic intersection of Bloch higher cycles

The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: We give a new definition of higher arithmetic Chow groups for smooth projective varieties defined over a number field, which is similar to Gill

From playlist Workshop: "Periods and Regulators"

Video thumbnail

69 - The Cayley-Hamilton theorem

Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering

From playlist Algebra 1M

Video thumbnail

Standard L-functions and theta correspondence (Lecture 4) by Shunsuke Yamana

PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga

From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019

Video thumbnail

Dana S Richards - Are You a Mathematician? - G4G14 April 2022

Martin Gardner is best known as a writer of recreational mathematics. It is often said he was not a mathematician; he said so himself. However he often contributed original results. These are found in math journals, his column and in the magic literature.

From playlist G4G14 Videos

Video thumbnail

Cayley-Hamilton Theorem: Example 1

Matrix Theory: We verify the Cayley-Hamilton Theorem for the real 3x3 matrix A = [ / / ]. Then we use CHT to find the inverse of A^2 + I.

From playlist Matrix Theory

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

Calculus 5.3 The Fundamental Theorem of Calculus

My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart

From playlist Calculus

Video thumbnail

Salute, Jonathan! Capitul 41

Aprender li lingue international Occidental (Interlingue) con Salute, Jonathan! - un cursu scrit completmen in Occidental. Learn the international language Occidental (Interlingue) with Salute, Jonathan! - a course written completely in Occidental. https://en.wikibooks.org/wiki/Salute,_J

From playlist Salute, Jonathan! Learn the Occidental language using the natural method

Video thumbnail

Other Acids | Acids, Bases & Alkali's | Chemistry | FuseSchool

Learn the basics about Other acids. Acids have a variety of applications for the industrial and domestic markets. What does that mean? Find out more in this video! This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( Vie

From playlist CHEMISTRY: Acids, Bases & Alkalis

Video thumbnail

Quasirandom Hypergraphs - Dhruv Mubayi

Dhruv Mubayi University of Illinois at Chicago March 4, 2013 Since the foundational results of Thomason and Chung-Graham-Wilson on quasirandom graphs over 20 years ago, there has been a lot of effort by many researchers to extend the theory to hypergraphs. I will present some of this histo

From playlist Mathematics

Video thumbnail

Stanford Seminar - Seongnam City and the Pangyo Techno Valley

"Seongnam City and the Pangyo Techno Valley: The Present and Future Growth of an Entrepreneurial Ecosystem" -Jae Myeong Lee, Seongnam City, Republic of Korea This lecture series presented by the US-Japan Technology Management Center and the US-Asia Technology Management Center explores p

From playlist Leadership & Management

Video thumbnail

걸리면 분노가 급상승하는 미친 병을 피해 고립된 아파트에서 살아남아야 하는 드라마 [해피니스1-2회]

이 영상은 저작권 허가만 받은 영상입니다. #해피니스 #티빙오리지널 #박형식

From playlist My music [Energy]

Video thumbnail

Bjørn Dundas: The trace map

The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: Workshop "Hermitian K-theory and trace methods"

From playlist HIM Lectures: Junior Trimester Program "Topology"

Video thumbnail

Creating An American Army - John J. Pershing I WHO DID WHAT IN WW1?

Check Out Desert Operations: http://bit.ly/TheGreatWar_DO John Pershing already had a long career in in the US forces when World War 1 broke out. When 1917 came around he was tasked with the monumental challenge of creating and expanding the American Expeditionary Forces and send them ove

From playlist Who Did What In WW1?

Video thumbnail

Inside Adam Savage's Cave: Iron Man Mark I

Adam shows off his Iron Man Mark I armor, which was intended to be one of his costumes for 2012's Comic-Con ... but it didn't end up happening. Adam's 2020 Upgrade: https://youtu.be/Vt0RxHzEhws Join this channel to support Tested and get access to perks: https://www.youtube.com/channel/U

From playlist Adam Savage's Misc Costumes

Video thumbnail

The Fundamental Theorem of Calculus - Example & Proof

Fully animated explanation of proving the fundamental theorem of calculus and explaining the idea with an example.

From playlist Further Calculus - MAM Unit 3

Related pages

Differential form | Hamiltonian vector field | Symplectic manifold | Theorem