What is a Manifold? Lesson 12: Fiber Bundles - Formal Description
This is a long lesson, but it is not full of rigorous proofs, it is just a formal definition. Please let me know where the exposition is unclear. I din't quite get through the idea of the structure group of a fiber bundle fully, but I introduced it. The examples in the next lesson will h
From playlist What is a Manifold?
Manifolds #5: Tangent Space (part 1)
Today, we introduce the notion of tangent vectors and the tangent vector space at a point on a manifold.
From playlist Manifolds
Manifolds 1.3 : More Examples (Animation Included)
In this video, I introduce the manifolds of product manifolds, tori/the torus, real vectorspaces, matrices, and linear map spaces. This video uses a math animation for visualization. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/5koj5
From playlist Manifolds
Manifolds 1.2 : Examples of Manifolds
In this video, I describe basic examples of manifolds. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/IZO0G25
From playlist Manifolds
Manifolds - Part 2 - Interior, Exterior, Boundary, Closure
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From playlist Manifolds
What is a Manifold? Lesson 6: Topological Manifolds
Topological manifolds! Finally! I had two false starts with this lesson, but now it is fine, I think.
From playlist What is a Manifold?
In this #SHORTS video, we offer a brief idea of what a (smooth) manifold is. Smooth manifolds, topological manifolds, Riemannian manifolds, complex manifolds, are some of the main objects in the vast field of geometry. These spaces are (topological) spaces that are locally Euclidean. 👍 To
From playlist All Videos
Jordan Sahattchieve: A Fibering Theorem for 3-Manifolds
Jordan Sahattchieve Title: A Fibering Theorem for 3-Manifolds In this talk, I will endeavor to communicate a new fibering theorem for 3-manifolds in the style of Stalling's Fibration Theorem.
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
What is a Manifold? Lesson 13: The tangent bundle - an illustration.
What is a Manifold? Lesson 13: The tangent bundle - an illustration. Here we have a close look at a complete example using the tangent bundle of the manifold S_1. Next lesson we look at the Mobius strip as a fiber bundle.
From playlist What is a Manifold?
Dawid Kielak: Computing fibring of 3-manifoldsand free-by-cyclic groups
Abstract : We will discuss an analogy between the structure of fibrings of 3-manifolds and free-by-cyclic groups; we will focus on effective computability. This is joint work with Giles Gardam. Codes MSC : 20F65, 57K31, 20E36 Keywords : free-by-cyclic groups, fibering, Thurston norm, Thur
From playlist Virtual Conference
8ECM Invited Lecture: Burak Özbağcı
From playlist 8ECM Invited Lectures
On embeddings of manifolds - Dishant Mayurbhai Pancholi
Seminar in Analysis and Geometry Topic: On embeddings of manifolds Speaker: Dishant Mayurbhai Pancholi Affiliation: Chennai Mathematical Institute; von Neumann Fellow, School of Mathematics Date: October 26, 2021 We will discuss embeddings of manifolds with a view towards applications i
From playlist Mathematics
Sam Fisher: Fibring of RFRS groups
Sam Fisher, University of Oxford Title: Fibring of RFRS groups A group $G$ is said to algrebraically fibre if it admits an epimorphism to $\mathbb{Z}$ with finitely generated kernel. The motivation for this definition comes from a result of Stallings, which states that if $G$ is the fundam
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Developments in 4-manifold topology arising from a theorem of Donaldson's - John Morgan [2017]
slides for this talk: https://drive.google.com/file/d/1_wHviPab9klzwE4UkCOvVecyopxDsZA3/view?usp=sharing Name: John Morgan Event: Workshop: Geometry of Manifolds Event URL: view webpage Title: Developments in 4-manifold topology arising from a theorem of Donaldson's Date: 2017-10-23 @9:3
From playlist Mathematics
Thorben Kastenholz: Simplicial Volume of Total Spaces of Fiber Bundles
Thorben Kastenholz, University of Goettingen Title: Simplicial Volume of Total Spaces of Fiber Bundles It is a classical result that manifolds that are total spaces of fiber bundles, whose fiber has amenable fundamental group, have vanishing simplicial volume. In this talk I will explore t
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Prerequisites III: Manifolds & Fiber Bundles - Maurice Weiler
Video recording of the First Italian Summer School on Geometric Deep Learning, which took place in July 2022 in Pescara. Slides: https://www.sci.unich.it/geodeep2022/slides/Manifolds_and_Fiber_Bundles.pdf
From playlist First Italian School on Geometric Deep Learning - Pescara 2022
What is a Manifold? Lesson 10: Tangent Space - Basis Vectors
What is a Manifold? Lesson 10: Tangent Space - Basis Vectors
From playlist What is a Manifold?
Ian Agol University of California, Berkeley; Distinguished Visiting Professor, School of Mathematics October 12, 2015 http://www.math.ias.edu/calendar/event/89554/1444672800/1444676400 I'll review recent progress on properties of 3-manifold groups, especially following from geometric pr
From playlist Members Seminar