Homotopy theory | Maps of manifolds | Topology
In the mathematical field of topology, a manifold M is called topologically rigid if every manifold homotopically equivalent to M is also homeomorphic to M. (Wikipedia).
Definition of a Topological Space
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Topological Space
From playlist Topology
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
This video is about compactness and some of its basic properties.
From playlist Basics: Topology
This video is about topological spaces and some of their basic properties.
From playlist Basics: Topology
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
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
Erica Flapan (9/18/18): Topological and geometric symmetries of molecular structures
How does a chemist know that a molecule that he or she has synthesized has the desired form? Most non-biological molecules are too small to see in a microscope or even with the help of an electron micrograph. So chemists need to collect experimental data as evidence that a synthetic mole
From playlist AATRN 2018
G. Walsh - Boundaries of Kleinian groups
We study the problem of classifying Kleinian groups via the topology of their limit sets. In particular, we are interested in one-ended convex-cocompact Kleinian groups where each piece in the JSJ decomposition is a free group, and we describe interesting examples in this situation. In ce
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
Thomas Schick - Scalar curvature rigidity
Many manifolds are (positive) scalar curvature rigid: one can't increase the scalar curvature without shrinking the manifold. The first of these results was established by Llarull (for the round spheres), using spinorial techniques. We discuss the problem and the known solutions, including
From playlist Not Only Scalar Curvature Seminar
Bill Jackson: Generic Rigidity of Point Line Frameworks
A point-line framework is a collection of points and lines in the plane which are linked by pairwise constraints that fix some angles between pairs of lines and also some point-line and point-point distances. It is rigid if every continuous motion of the points and lines which preserves th
From playlist HIM Lectures 2015
R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 1
I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This proves the Generalized Smale Conjecture and gives an alternative proof of the Smale Conjecture, wh
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Local rigidity and C^0 symplectic and contact topology - Mike Usher
Symplectic Dynamics/Geometry Seminar Topic: Local rigidity and C^0 symplectic and contact topology Speaker: Mike Usher Affiliation: University of Georgia Date: November 11, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 1 (vt)
I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This proves the Generalized Smale Conjecture and gives an alternative proof of the Smale Conjecture, wh
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Profinite rigidity – Alan Reid – ICM2018
Topology Invited Lecture 6.7 Profinite rigidity Alan Reid Abstract: We survey recent work on profinite rigidity of residually finite groups. © International Congress of Mathematicians – ICM www.icm2018.org Os direitos sobre todo o material deste canal pertencem ao Instituto de Mat
From playlist Topology
Boris Apanasov: Non-rigidity for Hyperbolic Lattices and Geometric Analysis
Boris Apanasov, University of Oklahoma Title: Non-rigidity for Hyperbolic Lattices and Geometric Analysis We create a conformal analogue of the M. Gromov-I. Piatetski-Shapiro interbreeding construction to obtain non-faithful representations of uniform hyperbolic 3-lattices with arbitrarily
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
J. Aramayona - MCG and infinite MCG (Part 3)
The first part of the course will be devoted to some of the classical results about mapping class groups of finite-type surfaces. Topics may include: generation by twists, Nielsen-Thurston classification, abelianization, isomorphic rigidity, geometry of combinatorial models. In the secon
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Grothendieck Pairs and Profinite Rigidity - Martin Bridson
Arithmetic Groups Topic: Grothendieck Pairs and Profinite Rigidity Speaker: Martin Bridson Affiliation: Oxford University Date: January 26, 2022 If a monomorphism of abstract groups H↪G induces an isomorphism of profinite completions, then (G,H) is called a Grothendieck pair, recalling t
From playlist Mathematics
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