Hamiltonian mechanics | Group actions (mathematics) | Symplectic geometry

Moment map

In mathematics, specifically in symplectic geometry, the momentum map (or, by false etymology, moment map) is a tool associated with a Hamiltonian action of a Lie group on a symplectic manifold, used to construct conserved quantities for the action. The momentum map generalizes the classical notions of linear and angular momentum. It is an essential ingredient in various constructions of symplectic manifolds, including symplectic (Marsden–Weinstein) quotients, discussed below, and symplectic cuts and sums. (Wikipedia).

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What is a dimension? In 3D...and 2D... and 1D

1D - it's the new 3D! Tweet it - http://bit.ly/mP3FFo Facebook it - http://on.fb.me/qtTraR minutephysics is now on Google+ - http://bit.ly/qzEwc6 And facebook - http://facebook.com/minutephysics Minute Physics provides an energetic and entertaining view of old and new problems

From playlist MinutePhysics

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Introduction to Moments | Statics

https://goo.gl/1wkFDL for more FREE video tutorials covering Engineering Mechanics (Statics & Dynamics) The objective of this video is to clear the moment concept followed by a workout on simple moment calculation. First of all, the video gives the definition of moment stating that moment

From playlist SpoonFeedMe: Engineering Mechanics (Statics & Dynamics)

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Spacetime Diagrams | Special Relativity Ch. 2

Go to http://brilliant.org/MinutePhysicsSpecialRelativity to learn more about spacetime diagrams and for 20% off a premium subscription to Brilliant. This video is chapter 2 in my series on special relativity, and it covers spacetime diagrams, rotational and translational symmetry of both

From playlist MinutePhysics

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AMAZING Simulation of the Evolution of the Universe

Watch the full MinutePhysics video here: http://dft.ba/-3v1L Also, explore a map of the big bang! http://www.bigbangregistry.com MinutePhysics is on Google+ - http://bit.ly/qzEwc6 And facebook - http://facebook.com/minutephysics And twitter - @minutephysics Minute Physics provides an en

From playlist MinutePhysics (chronological order)

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Physics - Mechanics: Moment of Inertia (2 of 7) Moment of Inertia of a Solid Sphere

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the moment of inertia of a solid sphere. Next video in the moment of inertia series: http://youtu.be/Cl3W3P2ubX8

From playlist PHYSICS 12 MOMENT OF INERTIA

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Physics - Mechanics: Moment of Inertia (1 of 6) Introductory Concept

Visit http://ilectureonline.com for more math and science lectures! In this first of the six-part video I will introduce the concept of moment of inertia, later I will derive equations and solve problems of moment of inertia.

From playlist PHYSICS 12 MOMENT OF INERTIA

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Physics - Mechanics: Moment of Inertia (1 of 7) Parallel Axis Theorem: Example 1

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the moment of inertia of 2 spheres connected by a rod rotated about the center of the rod. Next video in the moment of inertia series: http://youtu.be/swi7U6Q9pF0

From playlist PHYSICS 12 MOMENT OF INERTIA

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AWESOME PHYSICS EXPERIMENTS. Run race!

The concept of moment of inertia is demonstrated by rolling a series of cylinders down an inclined plane.

From playlist MECHANICS

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Lagrangians, symplectomorphisms and zeroes of moment maps - Yann Rollin

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Lagrangians, symplectomorphisms and zeroes of moment maps Speaker: Yann Rollin Affiliation: Nantes University Date: April 08, 2022 I will present two constructions of Kähler manifolds, endowed with Hamiltonia

From playlist Mathematics

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Introduction to geometric invariant theory 1: Noncommutative duality - Ankit Garg

Optimization, Complexity and Invariant Theory Topic: Introduction to geometric invariant theory 1: Noncommutative duality Speaker: Ankit Garg Affiliation: Microsoft Research New England Date: June 5. 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Johnathan Bush (11/5/21): Maps of Čech and Vietoris–Rips complexes into euclidean spaces

We say a continuous injective map from a topological space to k-dimensional euclidean space is simplex-preserving if the image of each set of at most k+1 distinct points is affinely independent. We will describe how simplex-preserving maps can be useful in the study of Čech and Vietoris–Ri

From playlist Vietoris-Rips Seminar

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Towards a theory of non-commutative optimization...… -Rafael Oliveira

Computer Science/Discrete Mathematics Seminar I Topic: Towards a theory of non-commutative optimization: geodesic 1st and 2nd order methods for moment maps and polytopes Speaker: Rafael Oliveira Affiliation:University of Toronto Date: October 22, 2019 For more video please visit http://v

From playlist Mathematics

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Séverin Charbonnier: Topological recursion for fully simple maps

Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: Fully simple maps show strong relations with symplectic invariance of topological recursion and free probabilities. While ordinary maps satisfy topological recursion

From playlist Noncommutative geometry meets topological recursion 2021

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Categorical aspects of vortices (Lecture 3)  by Niklas Garner

PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie

From playlist Vortex Moduli - 2023

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Arnold diffusion for `complete' families of perturbations with... - Amadeu Delshams

Emerging Topics Working Group Topic: Arnold diffusion for `complete' families of perturbations with two or three independent harmonics Speaker: Amadeu Delshams Affiliation: UPC Date: April 9, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Vortices on Non-compact Riemann Surfaces by Sushmita Venugopalan

PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie

From playlist Vortex Moduli - 2023

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Symplectic Vortices and the Quantum Kirwan Map (Lecture 2) by Chris Woodward

PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie

From playlist Vortex Moduli - 2023

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Mechanical Engineering: Rigid Bodies & Sys of Forces (10 of 47) Moment of a Force (Torque)

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a moment of a force (or torque). Next video in the Rigid Bodies and System of Forces series can be seen at: http://youtu.be/6nxRP6j5Agw

From playlist MECHANICAL ENGINEERING 2 - MOMENT OF A FORCE

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Wee Teck Gan: Howe to transfer Harish-Chandra characters using Weil’s representation

CIRM VIRTUAL EVENT Recorded during the meeting "Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy the May 24, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone Find this video and other talks given by w

From playlist Virtual Conference

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Tautological one-form | Lie group | Poisson–Lie group | Exponential map (Lie theory) | Group cohomology | Symplectomorphism | Momentum | Quotient space (topology) | Quantization commutes with reduction | GIT quotient | Poisson bracket | Symplectic cut | Interior product | Cotangent bundle | Toric manifold | Mathematics | Dual space | Semidirect product | Symplectic geometry | Lie algebra | Stratified space | Closed and exact differential forms | Euclidean group | Kostant's convexity theorem | Symplectic sum | Symplectic manifold | Kirwan map | Vector field | Pullback (differential geometry)