Manifolds | Topology | Algebraic topology
In mathematics, a configuration space is a construction closely related to state spaces or phase spaces in physics. In physics, these are used to describe the state of a whole system as a single point in a high-dimensional space. In mathematics, they are used to describe assignments of a collection of points to positions in a topological space. More specifically, configuration spaces in mathematics are particular examples of configuration spaces in physics in the particular case of several non-colliding particles. (Wikipedia).
Definition of a Topological Space
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From playlist Topology
This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
This video is about topological spaces and some of their basic properties.
From playlist Basics: Topology
Calculus 3: Vector Calculus in 2D (17 of 39) What is the Position Vector?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is the position vector. The position vector indicates the position of a particle relative to the origin. The position usually depends on, or is a function of, a parametric variable (ex. t
From playlist CALCULUS 3 CH 3 VECTOR CALCULUS
A WEIRD VECTOR SPACE: Building a Vector Space with Symmetry | Nathan Dalaklis
We'll spend time in this video on a weird vector space that can be built by developing the ideas around symmetry. In the process of building a vector space with symmetry at its core, we'll go through a ton of different ideas across a handful of mathematical fields. Naturally, we will start
From playlist The New CHALKboard
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Metric space definition and examples. Welcome to the beautiful world of topology and analysis! In this video, I present the important concept of a metric space, and give 10 examples. The idea of a metric space is to generalize the concept of absolute values and distances to sets more gener
From playlist Topology
This video is about metric spaces and some of their basic properties.
From playlist Basics: Topology
Topological Spaces: Introduction & Axioms
The first video in a new series on topological spaces and manifolds.
From playlist Topology & Manifolds
Robert Ghrist: Lecture 1: Topology Applied I
27th Workshop in Geometric Topology, Colorado College, June 10, 2010
From playlist Robert Ghrist: 27th Workshop in Geometric Topology
Secondary products in SUSY QFT by Tudor Dimofte
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Hamiltonian Mechanics in 10 Minutes
In this video I go over the basics of Hamiltonian mechanics. It is the first video of an upcoming series on a full semester university level Hamiltonian mechanics series. Corrections -4:33 the lagrangian should have a minus sign between the first two terms, not a plus.
From playlist Summer of Math Exposition 2 videos
IMS Public Lecture: From Puzzles to Moduli Spaces
Hugo Parlier, University of Fribourg, Switzerland
From playlist Public Lectures
Nature is extreme: the principle of least action
The principle of least action is a completely intuitive way of arriving at the laws of physics. You can even use it to arrive at Newton's laws completely from fundamentals and first principles. However it is often taught initially in a very operational way. I made this video so that hopefu
From playlist Summer of Math Exposition Youtube Videos
Michael Farber (7/28/22): Algorithms for automated decision making and topology
Abstract: I will describe topological problems relevant to the task of creating algorithms for automated decision making. My main focus will be on motion planning algorithms in robotics although our mathematical tools are applicable to many other situations.
From playlist Applied Geometry for Data Sciences 2022
Instantons and Monopoles (Lecture 1) by Sergey Cherkis
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
The measurement problem and some mild solutions by Dustin Lazarovici (Lecture - 03)
21 November 2016 to 10 December 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Quantum Theory has passed all experimental tests, with impressive accuracy. It applies to light and matter from the smallest scales so far explored, up to the mesoscopic scale. It is also a necessary ingredie
From playlist Fundamental Problems of Quantum Physics
Configuration Spaces of Hard Discs in a Box - Matthew Kahle
Matthew Kahle Institute for Advanced Study November 15, 2010 The "hard discs" model of matter has been studied intensely in statistical mechanics and theoretical chemistry for decades. From computer simulations it appears that there is a solid--liquid phase transition once the relative ar
From playlist Mathematics
Jan Swoboda: The large scale geometry of the Higgs bundle moduli space
Abstract: In this talk I will explain recent joint work with Rafe Mazzeo, Hartmut Weiss and Frederik Witt on the asymptotics of the natural L2-metric GL2 on the moduli space M of rank-2 Higgs bundles over a Riemann surface Σ as given by the set of solutions to the so-called self-duality eq
From playlist Mathematical Physics
Dimensions (1 of 3: The Traditional Definition - Directions)
More resources available at www.misterwootube.com
From playlist Exploring Mathematics: Fractals