In algebraic topology, the Hopf construction constructs a map from the join X*Y of two spaces X and Y to the suspension SZ of a space Z out of a map from X×Y to Z. It was introduced by Hopf in the case when X and Y are spheres. used it to define the J-homomorphism. (Wikipedia).
Inspired by http://www.youtube.com/watch?v=PQOjkuJtBfM
From playlist Projects & Installations
How was the Eiffel Tower built? I Head Squeeze
The Eiffel Tower was built for the World's Fair in Paris in 1889 and was initially designed to be dismantled when the fair was over. Subscribe to Earth Lab: http://bit.ly/SubscribeToEarthLab Construction was completed on 31st March 1889 and Gustave Eiffel was the very first person to clim
From playlist Sci Guide - the latest science and tech news
HowStuffWorks Show: Episode 3: Wood and Nails
The relationship between wood and nail is a very unique one, and most houses are a product of this relationship. Learn more about this special bond on the "HowStuffWorks" show on Discovery Channel.
From playlist HowStuffWorks TV Show
Watch a car park itself! Credits: , HowStuffWorks
From playlist Classic HowStuffWorks
The Hopf Fibration via Higher Inductive Types - Peter Lumsdaine
Peter Lumsdaine Dalhousie University; Member, School of Mathematics February 13, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Building Drone Rotors - PART 1
We present a multi-part series covering the construction and testing of large multi-rotor propellers.
From playlist Drones
How the world’s tallest skyscraper was built - Alex Gendler
Discover the engineering innovations that made building Burj Khalifa, the world’s tallest skyscraper, possible. -- In 2004, construction began on a new building in Dubai, promising a revolutionary design that would dwarf the rest of the world’s skyscrapers. Five years later, the 828-mete
From playlist Epic engineering: How did this get made
Ralph Kaufmann: Graph Hopf algebras and their framework
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: I will discuss recent results linking the Hopf algebras of Goncharov for multiple zetas, the Hopf algebra of Connes and Kreimer for renormalis
From playlist Workshop: "Amplitudes and Periods"
Guangyu Zhu: The Galois group of the category of mixed Hodge Tate structures
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: The category of mixed Hodge-Tate structures over Q is a mixed Tate category of homological dimension one. By Tannakian formalism, it is equiva
From playlist Workshop: "Periods and Regulators"
How was it Made? Jacquard weaving
From playlist Engineering
Claudia Pinzari: "Weak quasi-Hopf algebras associated to Verlinde fusion categories"
Actions of Tensor Categories on C*-algebras 2021 "Weak quasi-Hopf algebras associated to Verlinde fusion categories" Claudia Pinzari - Sapienza Università di Roma Abstract: Unitary modular fusion categories arise in various frameworks. After a general overview on unitarity, we discuss th
From playlist Actions of Tensor Categories on C*-algebras 2021
Sparse Identification of Nonlinear Dynamics (SINDy)
This video illustrates a new algorithm for the sparse identification of nonlinear dynamics (SINDy). In this work, we combine machine learning, sparse regression, and dynamical systems to identify nonlinear differential equations purely from measurement data. From the Paper: Discovering
From playlist Research Abstracts from Brunton Lab
TQFTs from non-semisimple modular categories and modified traces, Marco de Renzi, Lecture II
Lecture series on modified traces in algebra and topology Topological Quantum Field Theories (TQFTs for short) provide very sophisticated tools for the study of topology in dimension 2 and 3: they contain invariants of 3-manifolds that can be computed by cut-and-paste methods, and their e
From playlist Lecture series on modified traces in algebra and topology
Homotopy Group - (1)Dan Licata, (2)Guillaume Brunerie, (3)Peter Lumsdaine
(1)Carnegie Mellon Univ.; Member, School of Math, (2)School of Math., IAS, (3)Dalhousie Univ.; Member, School of Math April 11, 2013 In this general survey talk, we will describe an approach to doing homotopy theory within Univalent Foundations. Whereas classical homotopy theory may be des
From playlist Mathematics
In this video I shed some light on a heavily alluded to and poorly explained object, the Hopf Fibration. The Hopf Fibration commonly shows up in discussions surrounding gauge theories and fundamental physics, though its construction is not so mysterious.
From playlist Summer of Math Exposition Youtube Videos
Homotopy type theory: working invariantly in homotopy theory -Guillaume Brunerie
Short talks by postdoctoral members Topic: Homotopy type theory: working invariantly in homotopy theory Speaker: Guillaume Brunerie Affiliation: Member, School of Mathematics Date: September 26, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Introduction to quantized enveloping algebras - Leonardo Maltoni
Quantum Groups Seminar Topic: Introduction to quantized enveloping algebras Speaker: Leonardo Maltoni Affiliation: Sorbonne University Date: January 21, 2021 For more video please visit http://video.ias.edu
From playlist Quantum Groups Seminar
The Burj Khalifa: The World's Tallest Building
Burj Khalifa is known for being the tallest building in the world, standing at 2,717 feet (828 m). Being architecture royalty, the tower has an ionic telescopic spire and the world’s highest outdoor observation deck. According to reports, 12,000 builders and contractors worked on the pr
From playlist Iconic Builds
The Burj Khalifa: The World's Tallest Building
Burj Khalifa is known for being the tallest building in the world, standing at 2,717 feet (828 m). Being architecture royalty, the tower has an ionic telescopic spire and the world’s highest outdoor observation deck. According to reports, 12,000 builders and contractors worked on the pr
From playlist Iconic Builds