Quasi-isometry

23 Algebraic system isomorphism

Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.

From playlist Abstract algebra

Numerical mathematics of quasicrystals – Pingwen Zhang – ICM2018

Numerical Analysis and Scientific Computing Invited Lecture 15.8 Numerical mathematics of quasicrystals Pingwen Zhang Abstract: Quasicrystals are one kind of fascinating aperiodic structures, and give a strong impact on material science, solid state chemistry, condensed matter physics an

From playlist Numerical Analysis and Scientific Computing

Constructing group actions on quasi-trees – Koji Fujiwara – ICM2018

Topology Invited Lecture 6.12 Constructing group actions on quasi-trees Koji Fujiwara Abstract: A quasi-tree is a geodesic metric space quasi-isometric to a tree. We give a general construction of many actions of groups on quasi-trees. The groups we can handle include non-elementary hype

From playlist Topology

Isomorphisms (Abstract Algebra)

An isomorphism is a homomorphism that is also a bijection. If there is an isomorphism between two groups G and H, then they are equivalent and we say they are "isomorphic." The groups may look different from each other, but their group properties will be the same. Be sure to subscribe s

From playlist Abstract Algebra

Isomorphisms in abstract algebra

In this video I take a look at an example of a homomorphism that is both onto and one-to-one, i.e both surjective and injection, which makes it a bijection. Such a homomorphism is termed an isomorphism. Through the example, I review the construction of Cayley's tables for integers mod 4

From playlist Abstract algebra

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

Graph Theory: 09. Graph Isomorphisms

In this video I provide the definition of what it means for two graphs to be isomorphic. I illustrate this with two isomorphic graphs by giving an isomorphism between them, and conclude by discussing what it means for a mapping to be a bijection. An introduction to Graph Theory by Dr. Sar

From playlist Graph Theory part-2

(New Version Available) Inverse Functions

New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

Kevin Whyte, Lecture 2: Infinite Groups in Geometric Topology, Part 2

31st Workshop in Geometric Topology, University of Wisconsin-Milwaukee, June 13, 2014

From playlist Kevin Whyte: 31st Workshop in Geometric Topology

Examples of non-positively curved groups - Kim Ruane

Women and Mathematics Title: Examples of non-positively curved groups Speaker: Kim Ruane Affiliation: Tufts University Date: May 23, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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

Ahlfors-Bers 2014 "Rigidity of Teichmüller space"

Kasra Rafi (University of Toronto): We study the large scale geometry of Teichmüller space equipped with the Teichmüller metric. We show that, except for low complexity cases, any self quasi-isometry of Teichmüller space is a bounded distance away from an isometry of Teichmüller space. Our

From playlist The Ahlfors-Bers Colloquium 2014 at Yale

Kevin Whyte, Lecture 1: Infinite Groups in Geometric Topology, Part 1

31st Workshop in Geometric Topology, University of Wisconsin-Milwaukee, June 12, 2014

From playlist Kevin Whyte: 31st Workshop in Geometric Topology

Monika Kudlinska: Quasi-isometries of Free-by-cyclic Groups

Monika Kudlinska, University of Oxford Title: Quasi-isometries of Free-by-cyclic Groups A group is free-by-cyclic if it admits an epimorphism onto the infinite cyclic group with kernel a free group of finite rank. The study of free-by-cyclic groups is largely motivated by the case of 3-man

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

Measure Equivalence, Negative Curvature, Rigidity (Lecture 1) by Camille Horbez

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall

From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023

Examples of non-positively curved groups III - Kim Ruane

Women and Mathematics Title: Examples of non-positively curved groups III Speaker: Kim Ruane Affiliation: Tufts University Date: May 25, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

Alex Margolis: Quasi-actions and almost normal subgroups

CIRM VIRTUAL EVENT Recorded during the meeting"Virtual Geometric Group Theory conference " the May 27, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM

From playlist Virtual Conference

B. Kirchheim - Equidimensional isometric maps

From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications