Geometric group theory | Properties of groups

Gromov boundary

In mathematics, the Gromov boundary of a δ-hyperbolic space (especially a hyperbolic group) is an abstract concept generalizing the boundary sphere of hyperbolic space. Conceptually, the Gromov boundary is the set of all points at infinity. For instance, the Gromov boundary of the real line is two points, corresponding to positive and negative infinity. (Wikipedia).

Gromov boundary
Video thumbnail

An introduction to the Gromov-Hausdorff distance

Title: An introduction to the Gromov-Hausdorff distance Abstract: We give a brief introduction to the Hausdorff and Gromov-Hausdorff distances between metric spaces. The Hausdorff distance is defined on two subsets of a common metric space. The Gromov-Hausdorff distance is defined on any

From playlist Tutorials

Video thumbnail

On the Gromov width of polygon spaces - Alessia Mandini

Alessia Mandini University of Pavia October 31, 2014 After Gromov's foundational work in 1985, problems of symplectic embeddings lie in the heart of symplectic geometry. The Gromov width of a symplectic manifold (M,ω)(M,ω) is a symplectic invariant that measures, roughly speaking, the siz

From playlist Mathematics

Video thumbnail

Facundo Mémoli (5/2/21): The Gromov-Hausdorff distance between spheres

The Gromov-Hausdorff distance is a fundamental tool in Riemanian geometry, and also in applied geometry and topology. Whereas it is often easy to estimate the value of the distance between two given metric spaces, its precise value is rarely easy to determine. In this talk I will describe

From playlist TDA: Tutte Institute & Western University - 2021

Video thumbnail

Mikhail Gromov - 1/4 Old, New and Unknown around Scalar Curvature

Geometry of scalar curvature, that is comparable in scope to symplectic geometry, mediates between two worlds: the domain of rigidity, one sees in convexity and the realm of softness, characteristic of topology, such as the cobordism theory. The aim of this course is threefold: 1. An ove

From playlist Mikhail Gromov - Old, New and Unknown around Scalar Curvature

Video thumbnail

Mikhail Gromov - 2/4 Old, New and Unknown around Scalar Curvature

Geometry of scalar curvature, that is comparable in scope to symplectic geometry, mediates between two worlds: the domain of rigidity, one sees in convexity and the realm of softness, characteristic of topology, such as the cobordism theory. The aim of this course is threefold: 1. An ove

From playlist Mikhail Gromov - Old, New and Unknown around Scalar Curvature

Video thumbnail

Mikhail Gromov - 3/4 Old, New and Unknown around Scalar Curvature

Geometry of scalar curvature, that is comparable in scope to symplectic geometry, mediates between two worlds: the domain of rigidity, one sees in convexity and the realm of softness, characteristic of topology, such as the cobordism theory. The aim of this course is threefold: 1. An ove

From playlist Mikhail Gromov - Old, New and Unknown around Scalar Curvature

Video thumbnail

Mikhail Gromov - 4/4 Old, New and Unknown around Scalar Curvature

Geometry of scalar curvature, that is comparable in scope to symplectic geometry, mediates between two worlds: the domain of rigidity, one sees in convexity and the realm of softness, characteristic of topology, such as the cobordism theory. The aim of this course is threefold: 1. An ove

From playlist Mikhail Gromov - Old, New and Unknown around Scalar Curvature

Video thumbnail

Mikhael Gromov - 3/4 Mathematical Structures arising from Genetics and Molecular Biology

Cours des professeurs permanents de l'IHÉS - Mikhael GROMOV (IHÉS)­ À l'Institut Henri Poincaré (IHP) Paris le 4 octobre 2013

From playlist Mikhael Gromov - Mathematical Structures arising from Genetics and Molecular Biology

Video thumbnail

Open Gromov–Witten theory, skein modules, duality, and knot contact homology – T. Ekholm – ICM2018

Geometry | Topology Invited Lecture 5.7 | 6.3 Open Gromov–Witten theory, skein modules, large N duality, and knot contact homology Tobias Ekholm Abstract: Large N duality relates open Gromov–Witten invariants in the cotangent bundle of the 3-sphere with closed Gromov–Witten invariants in

From playlist Geometry

Video thumbnail

Chiu-Chu Melissa Liu: On the remodeling conjecture for toric Calabi-Yau 3-orbifolds

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebraic and Complex Geometry

Video thumbnail

Symplectic homology, algebraic operations on (Lecture – 03) by Janko Latschev

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

Video thumbnail

Introduction to Gromov-Witten Invariants by Ritwik Mukherjee

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

Video thumbnail

Introduction to Gromov-Witten Invariants by Ritwik Mukherjee

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

Video thumbnail

Lagrangian Floer theory (Lecture – 02) by Sushmita Venugopalan

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

Video thumbnail

Mikhael Gromov - 1/4 Mathematical Structures arising from Genetics and Molecular Biology

Cours des professeurs permanents de l'IHÉS - Mikhael GROMOV (IHÉS)­ À l'Institut Henri Poincaré (IHP) Paris le 4 octobre 2013

From playlist Mikhael Gromov - Mathematical Structures arising from Genetics and Molecular Biology

Video thumbnail

Lagrangian Floer theory by Sushmita Venugopalan

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

Video thumbnail

Topological Strings and String Dualities (Lecture - 02) by Rajesh Gopakumar

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

Video thumbnail

Rack theoretic invariants for Legendrian knots: First few steps by Dheeraj Kulkarni

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

Video thumbnail

Open Gromov-Witten Invariants from the Fukaya Category - Kai Hugtenburg

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Open Gromov-Witten Invariants from the Fukaya Category Speaker: Kai Hugtenburg Affiliation: University of Edinburgh Date: February 10, 2023 Enumerative mirror symmetry is a correspondence between closed Grom

From playlist Mathematics

Video thumbnail

Sunhyuk Lim (9/24/21): The Gromov-Hausdorff distance between spheres

We provide general upper and lower bounds for the Gromov-Hausdorff distance d_GH(S^m,S^n) between spheres S^m and S^n (endowed with the round metric) for m less than n, with both integers between 0 and infinity, inclusive. Some of these lower bounds are based on certain topological ideas r

From playlist Vietoris-Rips Seminar

Related pages

Cantor space | Hyperbolic space | Compact space | Quasi-isometry | Equivalence class | Geodesic | Point at infinity | Homeomorphism | Hyperbolic group | Menger sponge | Sphere | End (topology) | Isometry | Tree (graph theory) | Geometric group action