Geometric topology | 3-manifolds

In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. A 3-manifold can be thought of as a possible shape of the universe. Just as a sphere looks like a plane to a small enough observer, all 3-manifolds look like our universe does to a small enough observer. This is made more precise in the definition below. (Wikipedia).

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

Jessica Purcell: Structure of hyperbolic manifolds - Lecture 3

Abstract: In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions

From playlist Topology

Jessica Purcell: Structure of hyperbolic manifolds - Lecture 2

Abstract: In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions

From playlist Topology

Jessica Purcell: Structure of hyperbolic manifolds - Lecture 1

Abstract: In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions

From playlist Topology

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

Calculus 3: Vector Calculus in 3-D (1 of 35) Vector Representation in 3-D

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the various ways to represent vectors and unit vectors in 3 dimensional space. Next video in the series can be seen at: https://youtu.be/1EYceUjvvjQ

From playlist CALCULUS 3 CH 3.3 VECTOR CALCULUS IN 3-D

Differential geometry on the character variety - Julien Marché

Julien Marché, IMJ October 6, 2015 http://www.math.ias.edu/wgso3m/agenda 015-2016 Monday, October 5, 2015 - 08:00 to Friday, October 9, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 academic yea

From playlist Workshop on Geometric Structures on 3-Manifolds

[BOURBAKI 2019] Manolescu’s work on the triangulation conjecture - Stipsicz - 15/06/19

András STIPSICZ Manolescu’s work on the triangulation conjecture The triangulation conjecture (asking whether a manifold is necessarily a simplicial complex) has been recently resolved in the negative by Ciprian Manolescu. His proof is based on work of Galweski–Stern and Matumoto, reduci

From playlist BOURBAKI - 2019

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

Matthew Hedden - Irreducible homology S1xS2's which aren't zero surgeries on a knot

June 20, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry I'll discuss constructions of manifolds with the homology of S^1xS^2 which don't arise as Dehn surgery on a knot in S^3. Our examples have weight one

From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I

Periodic Foams and Manifolds - Frank Lutz

Frank Lutz Technische Universitat Berlin March 2, 2011 WORKSHOP ON TOPOLOGY: IDENTIFYING ORDER IN COMPLEX SYSTEMS For more videos, visit http://video.ias.edu

From playlist Mathematics

Nathan Dunfield, Lecture 1: Fun with Finite Covers of 3-Manifolds

33rd Workshop in Geometric Topology, Colorado College, June 9, 2016

From playlist Nathan Dunfield: 33rd Workshop in Geometric Topology

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

Exceptional holonomy and related geometric structures: Examples and moduli theory - Simon Donaldson

Marston Morse Lectures Topic: Exceptional holonomy and related geometric structures: Examples and moduli theory. Speaker: Simon Donaldson Affiliation: Stonybrook University Date: April 4, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

Compactness of conformally compact Einstein manifolds in dimension 4 - Alice Chang

Workshop on Geometric Functionals: Analysis and Applications Topic: Compactness of conformally compact Einstein manifolds in dimension 4 Speaker: Alice Chang Affiliation:Princeton University Date: March 4, 2019 For more video please visit http://video.ias.edu

From playlist Workshop on Geometric Functionals: Analysis and Applications

S. Maillot - An introduction to open 3-manifolds (Part 1)

W. Thurston's geometrization program has lead to manyoutstanding results in 3-manifold theory. Thanks to worksof G. Perelman, J. Kahn and V. Markovic, D. Wise, and I. Agol among others, compact 3-manifolds can now beconsidered to be reasonably well-understood.By contrast, noncompact 3-mani

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie