Isometry groups of the projective line (I) | Rational Geometry Math Foundations 138 | NJ Wildberger
The projective line can be given a Euclidean structure, just as the affine line can, but it is a bit more complicated. The algebraic structure of this projective line supports some symmetries. Symmetry in mathematics is often most efficiently encoded with the idea of a group--a technical t
From playlist Math Foundations
Group Isomorphisms in Abstract Algebra
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Isomorphisms in Abstract Algebra - Definition of a group isomorphism and isomorphic groups - Example of proving a function is an Isomorphism, showing the group of real numbers under addition is isomorphic to the group of posit
From playlist Abstract Algebra
Invertibility and Isomorphic Vector Spaces
The dimension of L(V, W). Linear maps act like matrix multiplication. Injectivity is equivalent to surjectivity in finite dimensions.
From playlist Linear Algebra Done Right
Introduction to Inverse Sine, Inverse Cosine, and Inverse Tangent
Introduction to the inverse functions of sine, cosine, and tangent http://mathispower4u.wordpress.com/
From playlist Inverse Trigonometric Functions
This geometry video tutorial provides a basic introduction into isosceles trapezoids. It discusses the basic properties of isosceles trapezoids. The bases are parallel and the legs are congruent. The lower base angles are congruent and the upper base angles are congruent. The lower bas
From playlist Geometry Video Playlist
What does it mean for two spaces to be isomorphic? In this video, I define the notion of isomorphism of vector spaces, and show that P2 and R3 are isomorphic. Dimension and Isomorphism (sequel): https://www.youtube.com/watch?v=EjiLTke3j7o Check out my Linear Transformations Playlist: ht
From playlist Linear Transformations
C. Leininger - Teichmüller spaces and pseudo-Anosov homeomorphism (Part 1)
I will start by describing the Teichmuller space of a surface of finite type from the perspective of both hyperbolic and complex structures and the action of the mapping class group on it. Then I will describe Thurston's compactification of Teichmuller space, and state his classification
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Parallel session 4 by Jens Heber
Geometry Topology and Dynamics in Negative Curvature URL: https://www.icts.res.in/program/gtdnc DATES: Monday 02 Aug, 2010 - Saturday 07 Aug, 2010 VENUE : Raman Research Institute, Bangalore DESCRIPTION: This is An ICM Satellite Conference. The conference intends to bring together ma
From playlist Geometry Topology and Dynamics in Negative Curvature
IGA: Rigidity of Riemannian embeddings of discrete metric spaces - Matan Eilat
Abstract: Let M be a complete, connected Riemannian surface and suppose that S is a discrete subset of M. What can we learn about M from the knowledge of all distances in the surface between pairs of points of S? We prove that if the distances in S correspond to the distances in a 2-dimens
From playlist Informal Geometric Analysis Seminar
Orthogonal Transformations 2: 3x3 Case
Linear Algebra: Let A be a 3x3 orthogonal matrix. We describe A as a rotation of R^3 about some line through the origin and give a recipe for finding the angle in terms of det(A) and Trace(A). An explicit example is given.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
I give a proof of the Cartan-Hadamard theorem on non-positively curved complete Riemannian manifolds. For more details see Chapter 7 of do Carmo's "Riemannian geomety". If you find any typos or mistakes, please point them out in the comments.
From playlist Differential geometry
Dynamics on character varieties - William Goldman
Character Varieties, Dynamics and Arithmetic Topic: Dynamics on character varieties Speaker: William Goldman Affiliation: University of Maryland; Member, School of Mathematics Date: November 10, 2021 In these two talks, I will describe how the classification of locally homogeneous geomet
From playlist Mathematics
How to use proportions for an isosceles triangle
👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side
From playlist Similar Triangles
Dynamics on character varieties - William Goldman
Character Varieties, Dynamics and Arithmetic Topic: Dynamics on character varieties Speaker: William Goldman Affiliation: University of Maryland; Member, School of Mathematics Date: November 17, 2021 In these two talks, I will describe how the classification of locally homogeneous geomet
From playlist Mathematics
Amine Marrakchi: Ergodic theory of affine isometric actions on Hilbert spaces
The Gaussian functor associates to every orthogonal representation of a group G on a Hilbert space, a probability measure preserving action of G called a Gaussian action. This construction is a fundamental tool in ergodic theory and is the source of a large and interesting class of probabi
From playlist Probability and Statistics
Twisted real structures for spectral triples
Talk by Adam Magee in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on March 31, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Lie Groups and Lie Algebras: Lesson 8 - the Classical Groups part VI
Lie Groups and Lie Algebras: Lesson 8 - the Classical Groups part VI
From playlist Lie Groups and Lie Algebras
Permutation Groups and Symmetric Groups | Abstract Algebra
We introduce permutation groups and symmetric groups. We cover some permutation notation, composition of permutations, composition of functions in general, and prove that the permutations of a set make a group (with certain details omitted). #abstractalgebra #grouptheory We will see the
From playlist Abstract Algebra
Boundaries of quasi-Fuchsian spaces and continuous/discontinuous (Lecture -1) by Ken'ichi Ohshika
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
BM8.3. Mappings 3: Composition and Inverse Mappings
Basic Methods: We define composition of mappings and draw parallels to multiplication of real numbers. Items include associativity, identity, and commutativity. Consideration of multiplicative inverses leads to the definition of an inverse mapping, and we give conditions for its existenc
From playlist Math Major Basics