In mathematics, given two submanifolds A and B of a manifold X intersecting in two points p and q, a Whitney disc is a mapping from the two-dimensional disc D, with two marked points, to X, such that the two marked points go to p and q, one boundary arc of D goes to A and the other to B. Their existence and embeddedness is crucial in proving the cobordism theorem, where it is used to cancel the intersection points; and its failure in low dimensions corresponds to not being able to embed a Whitney disc. Casson handles are an important technical tool for constructing the embedded Whitney disc relevant to many results on topological four-manifolds. Pseudoholomorphic Whitney discs are counted by the differential in Lagrangian intersection Floer homology. (Wikipedia).
Stereolab "Ticker Tape Of The Unconscious" (Montage)
Taken from the album "Dots And Loops".
From playlist the absolute best of stereolab
A viral film we created for Lenovo featuring futuristic technology from their R&D labs.
From playlist Lenovo: For Those Who Do.
From playlist the absolute best of stereolab
Lagrangian Whitney sphere links - Ivan Smith
Princeton/IAS Symplectic Geometry Seminar Topic: Lagrangian Whitney sphere links Speaker: Ivan Smith Affiliation: University of Cambridge Date: Novmeber 1, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
From the album Aluminum Tunes- Switched On, Vol. 3 Disc 1 (2004)
From playlist the absolute best of stereolab
Hannah Schwartz - The presence of 2-torsion
June 21, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry Two knots in S^3 are ambiently isotopic if and only if there is an orientation preserving automorphism of S^3 carrying one knot to the other (this foll
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I
From playlist the absolute best of stereolab
Ryan Budney, "Filtrations of smooth manifolds from maps to the plane"
The talk is part of the Workshop Topology of Data in Rome (15-16/09/2022) https://www.mat.uniroma2.it/Eventi/2022/Topoldata/topoldata.php The event was organized in partnership with the Romads Center for Data Science https://www.mat.uniroma2.it/~rds/about.php The Workshop was hosted and
From playlist Workshop: Topology of Data in Rome
Graham ELLIS - Computational group theory, cohomology of groups and topological methods 3
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Stability conditions in symplectic topology – Ivan Smith – ICM2018
Geometry Invited Lecture 5.8 Stability conditions in symplectic topology Ivan Smith Abstract: We discuss potential (largely speculative) applications of Bridgeland’s theory of stability conditions to symplectic mapping class groups. ICM 2018 – International Congress of Mathematicians
From playlist Geometry
Stein Structures: Existence and Flexibility - Kai Cieliebak
Kai Cieliebak Ludwig-Maximilians-Universitat, Munich, Germany March 2, 2012
From playlist Mathematics
Stein Structures: Existence and Flexibility - Kai Cieliebak
Kai Cieliebak Ludwig-Maximilians-Universitat, Munich, Germany March 1, 2012
From playlist Mathematics
An excellent song which I could not find on Youtube.
From playlist the absolute best of stereolab
Winter School JTP: Introduction to Fukaya categories, James Pascaleff, Lecture 3
This minicourse will provide an introduction to Fukaya categories. I will assume that participants are also attending Keller’s course on A∞ categories. Lecture 1: Basics of symplectic geometry for Fukaya categories. Symplectic manifolds; Lagrangian submanifolds; exactness conditions;
From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"
Anti-destruction device for laptop
The Lenovo Tapes | Anti-destruction device for laptop
From playlist Lenovo: For Those Who Do.
Maxim Kontsevich - 5/6 Resurgence and Quantization
There are two canonical ``quantizations'' of symplectic manifolds: \begin{itemize} \item Deformation quantization, associating with any ($C^\infty$, analytic, algebraic over field of characteristic zero) symplectic manifold $(M,\omega)$ a sheaf of catgeories, which is locally equivalent
From playlist Maxim Kontsevich - Resurgence and Quantization
Faraday's Law Demo: Tesla Coil
This is a demonstration of resonance and transformer voltage gain using a Tesla coil. Lightning is created by high voltage and dielectric breakdown of air near the top of the coil. This demonstration was created at Utah State University by Professor Boyd F. Edwards, assisted by James Cob
From playlist Demos 22. Electromagnetic Induction
AWESOME SUPERCONDUCTOR LEVITATION!!!
A quantum levitator it's a circular track of magnets above which a razor-thin disc magically levitates, seeming to defy the laws of physics. The key to the levitator is the disc, which is made of superconducting material sandwiched between layers of gold and sapphire crystal. A piece of fo
From playlist THERMODYNAMICS