Hyperbolic geometry | 3-manifolds
In hyperbolic geometry, the Meyerhoff manifold is the arithmetic hyperbolic 3-manifold obtained by surgery on the figure-8 knot complement. It was introduced by Robert Meyerhoff as a possible candidate for the hyperbolic 3-manifold of smallest volume, but the Weeks manifold turned out to have slightly smaller volume. It has the second smallest volume of orientable arithmetic hyperbolic 3-manifolds, where is the zeta function of the quartic field of discriminant . Alternatively, where is the polylogarithm and is the absolute value of the complex root (with positive imaginary part) of the quartic . Ted Chinburg showed that this manifold is arithmetic. (Wikipedia).
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?
Manifolds 1.1 : Basic Definitions
In this video, I give the basic intuition and definitions of manifolds. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Manifolds
Ian Agol, Lecture 1: Volumes of Hyperbolic 3-Manifolds
24th Workshop in Geometric Topology, Calvin College, June 28, 2007
From playlist Ian Agol: 24th Workshop in Geometric 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
Manifolds 3.1 : Partitions of Unity on Smooth Manifolds
In this video, I introduce partitions of unity and smooth bump functions, and prove that every open cover of a smooth manifold has a partition of unity subordinate to it. Email : fematikaqna@gmail.com Subreddit : https://www.reddit.com/r/fematika Code : https://github.com/Fematika/Animati
From playlist Manifolds
Hyperbolic 3-Manifold Stories - Professor Robert Meyerhoff (Boston College)
A brief historical outline of selected results on hyperbolic 3-manifolds will be given, leading up to recent research. Topics: low-volume manifolds, hyperbolic Dehn Filling spaces, Chern-Simons invariant.
D. Gabai - Maximal cusps of low volume
With Robert Haraway, Robert Meyerhoff, Nathaniel Thurston and Andrew Yarmola. We address the following question. What are all the 1-cusped hyperbolic 3-manifolds whose maximal cusps have low volume? Among other things we will outline a proof that the figure-8 knot complement and its sist
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
Dale Rolfsen: Braids, Orderings and Minimal Volume Cusped Hyperbolic 3-Manifolds
Dale Rolfsen, University of British Columbia Title: Braids, Orderings and Minimal Volume Cusped Hyperbolic 3-Manifolds The orderability properties of fundamental groups of minimal volume cusped hyperbolic 3-manifolds will be explored using the theory of braids and automorphisms of free gro
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Today, we begin the manifolds series by introducing the idea of a topological manifold, a special type of topological space which is locally homeomorphic to Euclidean space.
From playlist Manifolds
I define topological manifolds. Motivated by the prospect of calculus on topological manifolds, I introduce smooth manifolds. At the end I point out how one needs to change the definitions, to obtain C^1 or even complex manifolds. To learn more about manifolds, see Lee's "Introduction to
From playlist Differential geometry
How To Be A First Place Athlete | Compilation
Looking for a mental or physical edge in sports? Here, we'll explore some of the ways that you might be able to perform better while staying safer in your preferred sports ball game. Hosted by: Stefan Chin SciShow is on TikTok! Check us out at https://www.tiktok.com/@scishow ----------
From playlist Uploads
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
David Burguet: Some new dynamical applications of smooth parametrizations for C∞ systems - lecture 2
Smooth parametrizations of semi-algebraic sets were introduced by Yomdin in order to bound the local volume growth in his proof of Shub’s entropy conjecture for C∞ maps. In this minicourse we will present some refinement of Yomdin’s theory which allows us to also control the distortion. We
From playlist Dynamical Systems and Ordinary Differential Equations
Diverse Minds: Kafui Dzirasa, Personal Journey - 2/11/2021
Kafui Dzirasa is the inaugural speaker in Caltech’s Diverse Minds Seminar Series*. Dr. Dzirasa shared his experiences and personal journey into science in an interview and audience Q&A with Caltech’s David Anderson, Seymour Benzer Professor of Biology, Howard Hughes Medical Institute Inves
From playlist Diverse Minds Seminar Series
Ian Agol, Lecture 2: Finiteness of Arithmetic Hyperbolic Reflection Groups
24th Workshop in Geometric Topology, Calvin College, June 29, 2007
From playlist Ian Agol: 24th Workshop in Geometric Topology
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
President Obama's Election and Pursuit of a Post-Racial America
On February 15, 2012, Harvard Law Professor Charles Ogletree delivered the annual Al Meyerhoff Public Interest Lecture on "President Obama's Election and Pursuit of a Post-Racial America." UCI Law's Al Meyerhoff Public Interest Lecture is an annual lecture series that commemorates the late
From playlist UC Irvine School of Law: 2012 Lectures & Seminar Series
The Life of Max Meyerhof through his correspondence - Isolde Lehnert
Scholarly Correspondences Among Orientalists during the Early and Late Modern Period as a Historical Source: A Series of Lectures. Topic: The Life of Max Meyerhof through his correspondence Speaker: Isolde Lehnert Date: March 17, 2023 Max Meyerhof, born in 1874 as the only son of a Germ
From playlist Historical Studies
What is a Manifold? Lesson 2: Elementary Definitions
This lesson covers the basic definitions used in topology to describe subsets of topological spaces.
From playlist What is a Manifold?