Lamination (topology)

Topology (What is a Topology?)

What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b

From playlist Topology

Geometric Algebra, First Course, Episode 08: The Geometric Product.

We finally arrive at the ability to multiply our Geometric numbers together. We see where the geometric product comes from, leading to the definition for vector multiplication, and we add some definitions that allow us to multiply all elements of our algebra. We also use automated testing

From playlist Geometric Algebra, First Course, in STEMCstudio

Homotopy animation

An interesting homotopy (in fact, an ambient isotopy) of two surfaces.

From playlist Algebraic Topology

Geometric Algebra - The Matrix Representation of a Linear Transformation

In this video, we will show how matrices as computational tools may conveniently represent the action of a linear transformation upon a given basis. We will prove that conventional matrix operations, particularly matrix multiplication, conform to the composition of linear transformations.

From playlist Geometric Algebra

What is the definition of a geometric sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

Cycloid

#Cycloid: A curve traced by a point on a circle rolling in a straight line. (A preview of this Sunday's video.)

From playlist Miscellaneous

Homomorphisms in abstract algebra

In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu

From playlist Abstract algebra

A. Wright - Mirzakhani's work on Earthquakes (Part 1)

We will give the proof of Mirzakhani's theorem that the earthquake flow and Teichmuller unipotent flow are measurably isomorphic. We will assume some familiarity with quadratic differentials, but no familiarity with earthquakes, and the first lecture will be devoted to preliminaries. The s

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

Yair Minsky - 1/2 Mapping Class Group and Curve Complex

From playlist Summer School 2019: Aspects of Geometric Group Theory

Sabyasachi Mukherjee: Interbreeding in conformal dynamics, and its applications near and far

HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 24, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM

From playlist Virtual Conference

Cannon–Thurston maps – Mahan Mj – ICM2018

Geometry Invited Lecture 5.9 Cannon–Thurston maps Mahan Mj Abstract: We give an overview of the theory of Cannon–Thurston maps which forms one of the links between the complex analytic and hyperbolic geometric study of Kleinian groups. We also briefly sketch connections to hyperbolic sub

From playlist Geometry

A. Wright - Mirzakhani's work on Earthquakes (Part 2)

We will give the proof of Mirzakhani's theorem that the earthquake flow and Teichmuller unipotent flow are measurably isomorphic. We will assume some familiarity with quadratic differentials, but no familiarity with earthquakes, and the first lecture will be devoted to preliminaries. The s

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

Michael Wolf - Sheared Pleated surfaces and Limiting Configurations for Hitchin's equations

Michael Wolf Sheared Pleated surfaces and Limiting Configurations for Hitchin's equations A recent work by Mazzeo-Swoboda-Weiss-Witt describes a stratum of the frontier of the space of SL(2,C) surface group representations in terms of 'limiting configurations' which solve a degenerate ver

From playlist Maryland Analysis and Geometry Atelier

Jessica Purcell - Lecture 3 - Knots in infinite volume 3-manifolds

Jessica Purcell, Monash University Title: Knots in infinite volume 3-manifolds Classically, knots have been studied in the 3-sphere. However, many examples of knots arising in applications lie in broader classes of 3-manifolds. These include virtual knots, which lie within thickened surfa

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

Topology 1.4 : Product Topology Introduction

In this video, I define the product topology, and introduce the general cartesian product. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Topology

Homoclinic classes and equilibrium states (Lecture 2) by Sylvain Crovisier

PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.

From playlist Smooth And Homogeneous Dynamics

Compactness

The single, most important concept in topology and analysis: Compactness. This is explained via covers, which I'll define as well. There are tons of applications of this concept, which you can find in the playlist below Topology Playlist: https://youtube.com/playlist?list=PLJb1qAQIrmmA13v

From playlist Topology

Non-Rigidity of Horocycle Orbit Closures in Geometrically Infinite Surfaces - Or Landesberg

Special Year Research Seminar [DO NOT PUBLICLY POST] Topic: Non-Rigidity of Horocycle Orbit Closures in Geometrically Infinite Surfaces Speaker: Or Landesberg Affiliation: Yale University Date: January 31, 2023 Horospherical group actions on homogeneous spaces are famously known to be ext

From playlist Mathematics

Geometric Algebra - Duality and the Cross Product

In this video, we will introduce the concept of duality, involving a multiplication by the pseudoscalar. We will observe the geometric meaning of duality and also see that the cross product and wedge product are dual to one another, which means that the cross product is already contained w

From playlist Geometric Algebra

Ian Agol, Lecture 3: Applications of Kleinian Groups to 3-Manifold Topology

24th Workshop in Geometric Topology, Calvin College, June 30, 2007

From playlist Ian Agol: 24th Workshop in Geometric Topology