Topology | Differential geometry | Differential topology
In mathematics, particularly differential topology, the secondary vector bundle structurerefers to the natural vector bundle structure (TE, p∗, TM) on the total space TE of the tangent bundle of a smooth vector bundle (E, p, M), induced by the push-forward p∗ : TE → TM of the original projection map p : E → M.This gives rise to a double vector bundle structure (TE,E,TM,M). In the special case (E, p, M) = (TM, πTM, M), where TE = TTM is the double tangent bundle, the secondary vector bundle (TTM, (πTM)∗, TM) is isomorphic to the tangent bundle(TTM, πTTM, TM) of TM through the canonical flip. (Wikipedia).
Visualization of tensors - part 1
This video visualizes tensors. It shows some introduction to tensor theory and demonstrates it with the Cauchy stress tensor. Future parts of this series will show more theory and more examples. It talks about the term 'tensor' as used in physics and math. In the field of AI the term 'te
From playlist Animated Physics Simulations
The TRUTH about TENSORS, Part 9: Vector Bundles
In this video we define vector bundles in full abstraction, of which tangent bundles are a special case.
From playlist The TRUTH about TENSORS
Vector Spaces andt Tensors | Wrap it Up!
In this video, I will summarize general vectorspaces on fields, bases, the dual vectorspace, and tensors/their components. This includes the dual basis definition. Translate This Video: Email : fematikaqna@gmail.com Discord: https://discord.gg/5z7pgj5 Subreddit : https://www.reddit.com/r/
From playlist Wrap It Up!
Tensors Explained Intuitively: Covariant, Contravariant, Rank
Tensors of rank 1, 2, and 3 visualized with covariant and contravariant components. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
Introduction to Fiber Bundles Part 4: Torsor Interlude
Torsors and Principal Homogeneous Spaces. What is the difference?
From playlist Fiber bundles
Find the Component Form of a Vector from the Graph of a Vector
This video explains how to find the component form of a vector given the graph of a vector on the coordinate plane. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Vectors in 2D
What is a Tensor? Lesson 11: The metric tensor
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From playlist What is a Tensor?
Georg Tamme: Differential algebraic K theory
The lecture was held within the framework of the Hausdorff Trimester Program: Non-commutative Geometry and its Applications and the Workshop: Number theory and non-commutative geometry 28.11.2014
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Secondary products in SUSY QFT by Tudor Dimofte
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
Duality for Rabinowitz-Floer homology - Alex Oancea
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From playlist PU/IAS Symplectic Geometry Seminar
The Bogomolov-Gieseker inequality and geography of moduli (Lecture 2) by Carlos Simpson
INFOSYS-ICTS RAMANUJAN LECTURES EXPLORING MODULI SPEAKER: Carlos Simpson (Université Nice-Sophia Antipolis, France) DATE: 10 February 2020 to 14 February 2020 VENUE: Madhava Lecture Hall, ICTS Campus Lecture 1: Exploring Moduli: basic constructions and examples 4 PM, 10 February 2020
From playlist Infosys-ICTS Ramanujan Lectures
On the Gamma conjecture associated with toric flips - Hiroshi Iritani
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Gromov-Witten theory and gauge theory (Lecture 1) by Constantin Teleman
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
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Find the Component Form of a Vector by using the Initial and Terminal Points (2D)
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From playlist Vectors in 2D
Generalizing GKZ secondary fan using Berkovich geometry by Tony Yue Yu
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From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Giuseppe De Nittis : Topological nature of the Fu-Kane-Mele invariants
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From playlist Mathematical Physics
Mini course 2: Introduction to Higgs bundles (Lecture 2) by Francois Labourie
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
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Vectors | Lecture 1 | Vector Calculus for Engineers
Defines vectors, vector addition and vector subtraction. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture notes at http://www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_con
From playlist Vector Calculus for Engineers