What exactly is a circle? | Arithmetic and Geometry Math Foundations 28 | N J Wildberger
Moving beyond points and lines, circles are the next geometrical objects we encounter. Here we address the question of how best to introduce this important notion, strictly in the setting of rational numbers, and without metaphysical waffling about `infinite sets.' This lecture is part of
From playlist Math Foundations
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From playlist Recreational Math Videos
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?
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From playlist Geometry
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?
Geometry - Basic Terminology (25 of 36) The Circle
Visit http://ilectureonline.com for more math and science lectures! In this video I will define the center, radius, diameter, chord, secant, and tangent of a circle, and concentric circles. Next video in the Basic Terminology series can be seen at: https://youtu.be/sicPcuiWDZM
From playlist GEOMETRY 1 - BASIC TERMINOLOGY
From playlist Miscellaneous
Benson Farb, Part 2: Surface bundles, mapping class groups, moduli spaces, and cohomology
29th Workshop in Geometric Topology, Oregon State University, June 29, 2012
From playlist Benson Farb: 29th Workshop in Geometric Topology
Twisted matrix factorizations and loop groups - Daniel Freed
Daniel Freed University of Texas, Austin; Member, School of Mathematics and Natural Sciences February 9, 2015 The data of a compact Lie group GG and a degree 4 cohomology class on its classifying space leads to invariants in low-dimensional topology as well as important representations of
From playlist Mathematics
Norm stability in the unitary case from Voiculescu to Gromov-Lawson - Shmuel Weinberger
Stability and Testability Topic: Norm stability in the unitary case from Voiculescu to Gromov-Lawson Speaker: Shmuel Weinberger Affiliation: University of Chicago Date: February 24, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
Algebraic Topology - 12.2 - Fiber Bundles
From playlist Algebraic Topology
Introduction to Fiber Bundles part 1: Definitions
We give the definition of a fiber bundle with fiber F, trivializations and transition maps. This is a really basic stuff that we use a lot. Here are the topics this sets up: *Associated Bundles/Principal Bundles *Reductions of Structure Groups *Steenrod's Theorem *Torsor structure on arith
From playlist Fiber bundles
An introduction to spectral data for Higgs bundles.. by Laura Schaposnik
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
Distiguished Lecture Series by Richard Melrose (Massachusetts Institute of Technology, USA)
From playlist Distinguished Visitors Lecture Series
Cherkis 2021 04 05Yang-Mills Instantons, Quivers and Bows - Sergey Cherkis
Analysis Seminar Topic: Yang-Mills Instantons, Quivers and Bows Speaker: Sergey Cherkis Affiliation: University of Arizona; Member, School of Mathematics Date: April 05, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
How do you Define a Circle? | Don't Memorise
To learn more about Circles enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=q-3w7o4zbWQ&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 what is a circle? 0:15 how do we define a circle? 0:46
From playlist Middle School Math - Circles
