In discrete geometry, geometric rigidity is a theory for determining if a (GCS) has finitely many -dimensional solutions, or , in some metric space. A framework of a GCS is rigid in -dimensions, for a given if it is an isolated solution of the GCS, factoring out the set of trivial motions, or isometric group, of the metric space, e.g. translations and rotations in Euclidean space. In other words, a rigid framework of a GCS has no nearby framework of the GCS that is reachable via a non-trivial continuous motion of that preserves the constraints of the GCS. Structural rigidity is another theory of rigidity that concerns generic frameworks, i.e., frameworks whose rigidity properties are representative of all frameworks with the same . Results in geometric rigidity apply to all frameworks; in particular, to non-generic frameworks. Geometric rigidity was first explored by Euler, who conjectured that all polyhedra in -dimensions are rigid. Much work has gone into proving the conjecture, leading to many interesting results discussed below. However, a counterexample was eventually found. There are also some generic rigidity results with no combinatorial components, so they are related to both geometric and structural rigidity. (Wikipedia).
Center of Mass & Center of Rigidity | Reinforced Concrete Design
http://goo.gl/nmipcn for more FREE video tutorials covering Concrete Structural Design The objectives of this video are to briefly discuss about the center of mass and center of rigidity by understanding what their means as well as to talks about combination of center of mass and center o
From playlist SpoonFeedMe: Concrete Structures
Louis Theran: Rigidity of Random Graphs in Higher Dimensions
I will discuss rigidity properties of binomial random graphs G(n,p(n)) in fixed dimension d and some related problems in low-rank matrix completion. The threshold for rigidity is p(n) = Θ(log n / n), which is within a multiplicative constant of optimal. This talk is based on joint work wi
From playlist HIM Lectures 2015
Physics - Mechanics: Ch 17 Tension and Weight (1 of 11) What is Tension?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is tension and how to calculate tension using the free-body diagram. Next video in this series can be seen at: https://youtu.be/BxUhaktD8PA
From playlist PHYSICS MECHANICS 1: INTRO, VECTORS, MOTION, PROJECTILE MOTION, NEWTON'S LAWS
J. Wang - Topological rigidity and positive scalar curvature (version temporaire)
In this talk, we shall describe some topological rigidity and its relationship with positive scalar curvature. Precisely, we will present a proof that a complete contractible 3-manifold with positive scalar curvature is homeomorphic to the Euclidean 3-space. We will furthermore explain the
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Learn about the geometric mean of numbers. The geometric mean of n numbers is the nth root of the product of the numbers. To find the geometric mean of n numbers, we first multiply the numbers and then take the nth root of the product.
From playlist Geometry - GEOMETRIC MEAN
Andrey Gogolev: Rigidity in rank one: dynamics and geometry - lecture 2
A dynamical system is called rigid if a weak form of equivalence with a nearby system, such as coincidence of some simple invariants, implies a strong form of equivalence. In this minicourse we will discuss smooth rigidity of hyperbolic dynamical systems and related geometric questions suc
From playlist Dynamical Systems and Ordinary Differential Equations
Andrey Gogolev: Rigidity in rank one: dynamics and geometry - lecture 3
A dynamical system is called rigid if a weak form of equivalence with a nearby system, such as coincidence of some simple invariants, implies a strong form of equivalence. In this minicourse we will discuss smooth rigidity of hyperbolic dynamical systems and related geometric questions suc
From playlist Dynamical Systems and Ordinary Differential Equations
Andrey Gogolev: Rigidity in rank one: dynamics and geometry - lecture 1
A dynamical system is called rigid if a weak form of equivalence with a nearby system, such as coincidence of some simple invariants, implies a strong form of equivalence. In this minicourse we will discuss smooth rigidity of hyperbolic dynamical systems and related geometric questions suc
From playlist Dynamical Systems and Ordinary Differential Equations
Holomorphic rigid geometric structures on compact manifolds by Sorin Dumitrescu
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
Emily Stark: Action rigidity for free products of hyperbolic manifold groups
CIRM VIRTUAL EVENT Recorded during the meeting"Virtual Geometric Group Theory conference " the May 22, 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
Masoud Kamgarpour: Langlands correspondence for hypergeometric mo-tives
30 September 2021 Abstract: Hypergeometric sheaves are rigid local systems on the punctured projective line. Their study originated in the seminal work of Riemann on the Euler{Gauss hypergeometric function and has blossomed into an active eld with connections to many areas of mathematics.
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)
Geometric Algebra, First Course, Episode 13: Position and Attitude
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From playlist Geometric Algebra, First Course, in STEMCstudio
C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 2
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From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 2 (version temporaire)
We introduce various notions of convergence of Riemannian manifolds and metric spaces. We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature. We close the course by presenting methods and the
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Geometric Algebra - The Matrix Representation of a Linear Transformation
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From playlist Geometric Algebra
Boris Apanasov: Non-rigidity for Hyperbolic Lattices and Geometric Analysis
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From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Washington Taylor - How Natural is the Standard Model in the String Landscape?
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From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday
Rigidity and Flexibility of Schubert classes - Colleen Robles
Colleen Robles Texas A & M University; Member, School of Mathematics January 27, 2014 Consider a rational homogeneous variety X. The Schubert classes of X form a free additive basis of the integral homology of X. Given a Schubert class S in X, Borel and Haefliger asked: aside from the Schu
From playlist Mathematics
Eigenvalue Rigidity in Random Matrices and Applications in Last... by Riddhipratim Basu
PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear
From playlist Advances in Applied Probability 2019
IGA: Rigidity of Riemannian embeddings of discrete metric spaces - Matan Eilat
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From playlist Informal Geometric Analysis Seminar